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Simplifying -40(r + -32) = -12 + 28r Reorder the terms: -40(-32 + r) = -12 + 28r (-32 * -40 + r * -40) = -12 + 28r (1280 + -40r) = -12 + 28r Solving 1280 + -40r = -12 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. 1280 + -40r + -28r = -12 + 28r + -28r Combine like terms: -40r + -28r = -68r 1280 + -68r = -12 + 28r + -28r Combine like terms: 28r + -28r = 0 1280 + -68r = -12 + 0 1280 + -68r = -12 Add '-1280' to each side of the equation. 1280 + -1280 + -68r = -12 + -1280 Combine like terms: 1280 + -1280 = 0 0 + -68r = -12 + -1280 -68r = -12 + -1280 Combine like terms: -12 + -1280 = -1292 -68r = -1292 Divide each side by '-68'. r = 19 Simplifying r = 19
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