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Simplifying 71 = -5(6r + -3) + -4 Reorder the terms: 71 = -5(-3 + 6r) + -4 71 = (-3 * -5 + 6r * -5) + -4 71 = (15 + -30r) + -4 Reorder the terms: 71 = 15 + -4 + -30r Combine like terms: 15 + -4 = 11 71 = 11 + -30r Solving 71 = 11 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. 71 + 30r = 11 + -30r + 30r Combine like terms: -30r + 30r = 0 71 + 30r = 11 + 0 71 + 30r = 11 Add '-71' to each side of the equation. 71 + -71 + 30r = 11 + -71 Combine like terms: 71 + -71 = 0 0 + 30r = 11 + -71 30r = 11 + -71 Combine like terms: 11 + -71 = -60 30r = -60 Divide each side by '30'. r = -2 Simplifying r = -2
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