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Simplifying -5(r + 12) + 12 = -9(4r + 12) + 11r Reorder the terms: -5(12 + r) + 12 = -9(4r + 12) + 11r (12 * -5 + r * -5) + 12 = -9(4r + 12) + 11r (-60 + -5r) + 12 = -9(4r + 12) + 11r Reorder the terms: -60 + 12 + -5r = -9(4r + 12) + 11r Combine like terms: -60 + 12 = -48 -48 + -5r = -9(4r + 12) + 11r Reorder the terms: -48 + -5r = -9(12 + 4r) + 11r -48 + -5r = (12 * -9 + 4r * -9) + 11r -48 + -5r = (-108 + -36r) + 11r Combine like terms: -36r + 11r = -25r -48 + -5r = -108 + -25r Solving -48 + -5r = -108 + -25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25r' to each side of the equation. -48 + -5r + 25r = -108 + -25r + 25r Combine like terms: -5r + 25r = 20r -48 + 20r = -108 + -25r + 25r Combine like terms: -25r + 25r = 0 -48 + 20r = -108 + 0 -48 + 20r = -108 Add '48' to each side of the equation. -48 + 48 + 20r = -108 + 48 Combine like terms: -48 + 48 = 0 0 + 20r = -108 + 48 20r = -108 + 48 Combine like terms: -108 + 48 = -60 20r = -60 Divide each side by '20'. r = -3 Simplifying r = -3
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