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Simplifying 2(12 + 3r) = -9r + -4(-4r + -5) (12 * 2 + 3r * 2) = -9r + -4(-4r + -5) (24 + 6r) = -9r + -4(-4r + -5) Reorder the terms: 24 + 6r = -9r + -4(-5 + -4r) 24 + 6r = -9r + (-5 * -4 + -4r * -4) 24 + 6r = -9r + (20 + 16r) Reorder the terms: 24 + 6r = 20 + -9r + 16r Combine like terms: -9r + 16r = 7r 24 + 6r = 20 + 7r Solving 24 + 6r = 20 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 24 + 6r + -7r = 20 + 7r + -7r Combine like terms: 6r + -7r = -1r 24 + -1r = 20 + 7r + -7r Combine like terms: 7r + -7r = 0 24 + -1r = 20 + 0 24 + -1r = 20 Add '-24' to each side of the equation. 24 + -24 + -1r = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -1r = 20 + -24 -1r = 20 + -24 Combine like terms: 20 + -24 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4
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