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Simplifying 102 = 3r + -3(6r + 1) Reorder the terms: 102 = 3r + -3(1 + 6r) 102 = 3r + (1 * -3 + 6r * -3) 102 = 3r + (-3 + -18r) Reorder the terms: 102 = -3 + 3r + -18r Combine like terms: 3r + -18r = -15r 102 = -3 + -15r Solving 102 = -3 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. 102 + 15r = -3 + -15r + 15r Combine like terms: -15r + 15r = 0 102 + 15r = -3 + 0 102 + 15r = -3 Add '-102' to each side of the equation. 102 + -102 + 15r = -3 + -102 Combine like terms: 102 + -102 = 0 0 + 15r = -3 + -102 15r = -3 + -102 Combine like terms: -3 + -102 = -105 15r = -105 Divide each side by '15'. r = -7 Simplifying r = -7
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