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Simplifying 141 = -5r + 7(6 + -4r) 141 = -5r + (6 * 7 + -4r * 7) 141 = -5r + (42 + -28r) Reorder the terms: 141 = 42 + -5r + -28r Combine like terms: -5r + -28r = -33r 141 = 42 + -33r Solving 141 = 42 + -33r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '33r' to each side of the equation. 141 + 33r = 42 + -33r + 33r Combine like terms: -33r + 33r = 0 141 + 33r = 42 + 0 141 + 33r = 42 Add '-141' to each side of the equation. 141 + -141 + 33r = 42 + -141 Combine like terms: 141 + -141 = 0 0 + 33r = 42 + -141 33r = 42 + -141 Combine like terms: 42 + -141 = -99 33r = -99 Divide each side by '33'. r = -3 Simplifying r = -3
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