# Chapter 2 - Section 2.6 - Absolute Value Equations - Exercise Set: 64

$8,-2$

#### Work Step by Step

$|\frac{2r-6}{5}| = |-2|$ Since $|-2|$ is $2$, the given expression becomes, $|\frac{2r-6}{5}| = 2$ $\frac{2r-6}{5} = 2$ or $\frac{2r-6}{5} = -2$ $2r-6 = 10$ or $2r-6 = -10$ $2r = 10+6$ or $2r = -10+6$ $2r = 16$ or $2r = -4$ $r = 8$ or $r = -2$ Solutions are $8, -2$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "http://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-2-section-2-6-absolute-value-equations-exercise-set-page-100/64", "fetch_time": 1516167903000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2018-05/segments/1516084886815.20/warc/CC-MAIN-20180117043259-20180117063259-00374.warc.gz", "warc_record_offset": 452324902, "warc_record_length": 13696, "token_count": 214, "char_count": 532, "score": 4.25, "int_score": 4, "crawl": "CC-MAIN-2018-05", "snapshot_type": "longest", "language": "en", "language_score": 0.7817784547805786, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00025-of-00064.parquet"}