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Simplifying 150 = -5(5r + -2) + -3r Reorder the terms: 150 = -5(-2 + 5r) + -3r 150 = (-2 * -5 + 5r * -5) + -3r 150 = (10 + -25r) + -3r Combine like terms: -25r + -3r = -28r 150 = 10 + -28r Solving 150 = 10 + -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. 150 + 28r = 10 + -28r + 28r Combine like terms: -28r + 28r = 0 150 + 28r = 10 + 0 150 + 28r = 10 Add '-150' to each side of the equation. 150 + -150 + 28r = 10 + -150 Combine like terms: 150 + -150 = 0 0 + 28r = 10 + -150 28r = 10 + -150 Combine like terms: 10 + -150 = -140 28r = -140 Divide each side by '28'. r = -5 Simplifying r = -5
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