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Simplifying 12(2r + 2) = 10(r + 1) Reorder the terms: 12(2 + 2r) = 10(r + 1) (2 * 12 + 2r * 12) = 10(r + 1) (24 + 24r) = 10(r + 1) Reorder the terms: 24 + 24r = 10(1 + r) 24 + 24r = (1 * 10 + r * 10) 24 + 24r = (10 + 10r) Solving 24 + 24r = 10 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 24 + 24r + -10r = 10 + 10r + -10r Combine like terms: 24r + -10r = 14r 24 + 14r = 10 + 10r + -10r Combine like terms: 10r + -10r = 0 24 + 14r = 10 + 0 24 + 14r = 10 Add '-24' to each side of the equation. 24 + -24 + 14r = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 14r = 10 + -24 14r = 10 + -24 Combine like terms: 10 + -24 = -14 14r = -14 Divide each side by '14'. r = -1 Simplifying r = -1
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