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Simplifying 5 + 5r = -5(5r + -7) Reorder the terms: 5 + 5r = -5(-7 + 5r) 5 + 5r = (-7 * -5 + 5r * -5) 5 + 5r = (35 + -25r) Solving 5 + 5r = 35 + -25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25r' to each side of the equation. 5 + 5r + 25r = 35 + -25r + 25r Combine like terms: 5r + 25r = 30r 5 + 30r = 35 + -25r + 25r Combine like terms: -25r + 25r = 0 5 + 30r = 35 + 0 5 + 30r = 35 Add '-5' to each side of the equation. 5 + -5 + 30r = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 30r = 35 + -5 30r = 35 + -5 Combine like terms: 35 + -5 = 30 30r = 30 Divide each side by '30'. r = 1 Simplifying r = 1
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