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Simplifying -5r + 40 = -5(6r + -3) Reorder the terms: 40 + -5r = -5(6r + -3) Reorder the terms: 40 + -5r = -5(-3 + 6r) 40 + -5r = (-3 * -5 + 6r * -5) 40 + -5r = (15 + -30r) Solving 40 + -5r = 15 + -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. 40 + -5r + 30r = 15 + -30r + 30r Combine like terms: -5r + 30r = 25r 40 + 25r = 15 + -30r + 30r Combine like terms: -30r + 30r = 0 40 + 25r = 15 + 0 40 + 25r = 15 Add '-40' to each side of the equation. 40 + -40 + 25r = 15 + -40 Combine like terms: 40 + -40 = 0 0 + 25r = 15 + -40 25r = 15 + -40 Combine like terms: 15 + -40 = -25 25r = -25 Divide each side by '25'. r = -1 Simplifying r = -1
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