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Simplifying 12(1 + -3r) = 12(-11 + -2r) (1 * 12 + -3r * 12) = 12(-11 + -2r) (12 + -36r) = 12(-11 + -2r) 12 + -36r = (-11 * 12 + -2r * 12) 12 + -36r = (-132 + -24r) Solving 12 + -36r = -132 + -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. 12 + -36r + 24r = -132 + -24r + 24r Combine like terms: -36r + 24r = -12r 12 + -12r = -132 + -24r + 24r Combine like terms: -24r + 24r = 0 12 + -12r = -132 + 0 12 + -12r = -132 Add '-12' to each side of the equation. 12 + -12 + -12r = -132 + -12 Combine like terms: 12 + -12 = 0 0 + -12r = -132 + -12 -12r = -132 + -12 Combine like terms: -132 + -12 = -144 -12r = -144 Divide each side by '-12'. r = 12 Simplifying r = 12
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