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Simplifying 12r + -3(r + -5) = -3r + 3 Reorder the terms: 12r + -3(-5 + r) = -3r + 3 12r + (-5 * -3 + r * -3) = -3r + 3 12r + (15 + -3r) = -3r + 3 Reorder the terms: 15 + 12r + -3r = -3r + 3 Combine like terms: 12r + -3r = 9r 15 + 9r = -3r + 3 Reorder the terms: 15 + 9r = 3 + -3r Solving 15 + 9r = 3 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 15 + 9r + 3r = 3 + -3r + 3r Combine like terms: 9r + 3r = 12r 15 + 12r = 3 + -3r + 3r Combine like terms: -3r + 3r = 0 15 + 12r = 3 + 0 15 + 12r = 3 Add '-15' to each side of the equation. 15 + -15 + 12r = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 12r = 3 + -15 12r = 3 + -15 Combine like terms: 3 + -15 = -12 12r = -12 Divide each side by '12'. r = -1 Simplifying r = -1
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