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Simplifying -12 + 10(3 + 9r) = 108 -12 + (3 * 10 + 9r * 10) = 108 -12 + (30 + 90r) = 108 Combine like terms: -12 + 30 = 18 18 + 90r = 108 Solving 18 + 90r = 108 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 90r = 108 + -18 Combine like terms: 18 + -18 = 0 0 + 90r = 108 + -18 90r = 108 + -18 Combine like terms: 108 + -18 = 90 90r = 90 Divide each side by '90'. r = 1 Simplifying r = 1
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