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Simplifying -6r + 9 = -3(1 + 6r) Reorder the terms: 9 + -6r = -3(1 + 6r) 9 + -6r = (1 * -3 + 6r * -3) 9 + -6r = (-3 + -18r) Solving 9 + -6r = -3 + -18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18r' to each side of the equation. 9 + -6r + 18r = -3 + -18r + 18r Combine like terms: -6r + 18r = 12r 9 + 12r = -3 + -18r + 18r Combine like terms: -18r + 18r = 0 9 + 12r = -3 + 0 9 + 12r = -3 Add '-9' to each side of the equation. 9 + -9 + 12r = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 12r = -3 + -9 12r = -3 + -9 Combine like terms: -3 + -9 = -12 12r = -12 Divide each side by '12'. r = -1 Simplifying r = -1
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