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Simplifying 12(r + -10) = 4(-5r + -11) + -12 Reorder the terms: 12(-10 + r) = 4(-5r + -11) + -12 (-10 * 12 + r * 12) = 4(-5r + -11) + -12 (-120 + 12r) = 4(-5r + -11) + -12 Reorder the terms: -120 + 12r = 4(-11 + -5r) + -12 -120 + 12r = (-11 * 4 + -5r * 4) + -12 -120 + 12r = (-44 + -20r) + -12 Reorder the terms: -120 + 12r = -44 + -12 + -20r Combine like terms: -44 + -12 = -56 -120 + 12r = -56 + -20r Solving -120 + 12r = -56 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. -120 + 12r + 20r = -56 + -20r + 20r Combine like terms: 12r + 20r = 32r -120 + 32r = -56 + -20r + 20r Combine like terms: -20r + 20r = 0 -120 + 32r = -56 + 0 -120 + 32r = -56 Add '120' to each side of the equation. -120 + 120 + 32r = -56 + 120 Combine like terms: -120 + 120 = 0 0 + 32r = -56 + 120 32r = -56 + 120 Combine like terms: -56 + 120 = 64 32r = 64 Divide each side by '32'. r = 2 Simplifying r = 2
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