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Simplifying -3(56r + 84) + 36 = 6(-27r + 39) Reorder the terms: -3(84 + 56r) + 36 = 6(-27r + 39) (84 * -3 + 56r * -3) + 36 = 6(-27r + 39) (-252 + -168r) + 36 = 6(-27r + 39) Reorder the terms: -252 + 36 + -168r = 6(-27r + 39) Combine like terms: -252 + 36 = -216 -216 + -168r = 6(-27r + 39) Reorder the terms: -216 + -168r = 6(39 + -27r) -216 + -168r = (39 * 6 + -27r * 6) -216 + -168r = (234 + -162r) Solving -216 + -168r = 234 + -162r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '162r' to each side of the equation. -216 + -168r + 162r = 234 + -162r + 162r Combine like terms: -168r + 162r = -6r -216 + -6r = 234 + -162r + 162r Combine like terms: -162r + 162r = 0 -216 + -6r = 234 + 0 -216 + -6r = 234 Add '216' to each side of the equation. -216 + 216 + -6r = 234 + 216 Combine like terms: -216 + 216 = 0 0 + -6r = 234 + 216 -6r = 234 + 216 Combine like terms: 234 + 216 = 450 -6r = 450 Divide each side by '-6'. r = -75 Simplifying r = -75
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