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Simplifying 102 = 2(3 + -6r) 102 = (3 * 2 + -6r * 2) 102 = (6 + -12r) Solving 102 = 6 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 102 + 12r = 6 + -12r + 12r Combine like terms: -12r + 12r = 0 102 + 12r = 6 + 0 102 + 12r = 6 Add '-102' to each side of the equation. 102 + -102 + 12r = 6 + -102 Combine like terms: 102 + -102 = 0 0 + 12r = 6 + -102 12r = 6 + -102 Combine like terms: 6 + -102 = -96 12r = -96 Divide each side by '12'. r = -8 Simplifying r = -8
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