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Simplifying -3(-12 + 17r) = 4(3 + -12r) (-12 * -3 + 17r * -3) = 4(3 + -12r) (36 + -51r) = 4(3 + -12r) 36 + -51r = (3 * 4 + -12r * 4) 36 + -51r = (12 + -48r) Solving 36 + -51r = 12 + -48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48r' to each side of the equation. 36 + -51r + 48r = 12 + -48r + 48r Combine like terms: -51r + 48r = -3r 36 + -3r = 12 + -48r + 48r Combine like terms: -48r + 48r = 0 36 + -3r = 12 + 0 36 + -3r = 12 Add '-36' to each side of the equation. 36 + -36 + -3r = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -3r = 12 + -36 -3r = 12 + -36 Combine like terms: 12 + -36 = -24 -3r = -24 Divide each side by '-3'. r = 8 Simplifying r = 8
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