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Simplifying -3r + 102 = 2(-3r + 8) Reorder the terms: 102 + -3r = 2(-3r + 8) Reorder the terms: 102 + -3r = 2(8 + -3r) 102 + -3r = (8 * 2 + -3r * 2) 102 + -3r = (16 + -6r) Solving 102 + -3r = 16 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 102 + -3r + 6r = 16 + -6r + 6r Combine like terms: -3r + 6r = 3r 102 + 3r = 16 + -6r + 6r Combine like terms: -6r + 6r = 0 102 + 3r = 16 + 0 102 + 3r = 16 Add '-102' to each side of the equation. 102 + -102 + 3r = 16 + -102 Combine like terms: 102 + -102 = 0 0 + 3r = 16 + -102 3r = 16 + -102 Combine like terms: 16 + -102 = -86 3r = -86 Divide each side by '3'. r = -28.66666667 Simplifying r = -28.66666667
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