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Simplifying -12(r + 10) = -12(2r + -5) Reorder the terms: -12(10 + r) = -12(2r + -5) (10 * -12 + r * -12) = -12(2r + -5) (-120 + -12r) = -12(2r + -5) Reorder the terms: -120 + -12r = -12(-5 + 2r) -120 + -12r = (-5 * -12 + 2r * -12) -120 + -12r = (60 + -24r) Solving -120 + -12r = 60 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. -120 + -12r + 24r = 60 + -24r + 24r Combine like terms: -12r + 24r = 12r -120 + 12r = 60 + -24r + 24r Combine like terms: -24r + 24r = 0 -120 + 12r = 60 + 0 -120 + 12r = 60 Add '120' to each side of the equation. -120 + 120 + 12r = 60 + 120 Combine like terms: -120 + 120 = 0 0 + 12r = 60 + 120 12r = 60 + 120 Combine like terms: 60 + 120 = 180 12r = 180 Divide each side by '12'. r = 15 Simplifying r = 15
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