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Simplifying -4(6r + -15) = 3(-7 + -17r) Reorder the terms: -4(-15 + 6r) = 3(-7 + -17r) (-15 * -4 + 6r * -4) = 3(-7 + -17r) (60 + -24r) = 3(-7 + -17r) 60 + -24r = (-7 * 3 + -17r * 3) 60 + -24r = (-21 + -51r) Solving 60 + -24r = -21 + -51r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '51r' to each side of the equation. 60 + -24r + 51r = -21 + -51r + 51r Combine like terms: -24r + 51r = 27r 60 + 27r = -21 + -51r + 51r Combine like terms: -51r + 51r = 0 60 + 27r = -21 + 0 60 + 27r = -21 Add '-60' to each side of the equation. 60 + -60 + 27r = -21 + -60 Combine like terms: 60 + -60 = 0 0 + 27r = -21 + -60 27r = -21 + -60 Combine like terms: -21 + -60 = -81 27r = -81 Divide each side by '27'. r = -3 Simplifying r = -3
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