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Simplifying 2(6 + 9r) = 1(12r + 12) (6 * 2 + 9r * 2) = 1(12r + 12) (12 + 18r) = 1(12r + 12) Reorder the terms: 12 + 18r = 1(12 + 12r) 12 + 18r = (12 * 1 + 12r * 1) 12 + 18r = (12 + 12r) Add '-12' to each side of the equation. 12 + -12 + 18r = 12 + -12 + 12r Combine like terms: 12 + -12 = 0 0 + 18r = 12 + -12 + 12r 18r = 12 + -12 + 12r Combine like terms: 12 + -12 = 0 18r = 0 + 12r 18r = 12r Solving 18r = 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. 18r + -12r = 12r + -12r Combine like terms: 18r + -12r = 6r 6r = 12r + -12r Combine like terms: 12r + -12r = 0 6r = 0 Divide each side by '6'. r = 0 Simplifying r = 0
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