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Simplifying 7r + 15 = -5(6r + -3) Reorder the terms: 15 + 7r = -5(6r + -3) Reorder the terms: 15 + 7r = -5(-3 + 6r) 15 + 7r = (-3 * -5 + 6r * -5) 15 + 7r = (15 + -30r) Add '-15' to each side of the equation. 15 + -15 + 7r = 15 + -15 + -30r Combine like terms: 15 + -15 = 0 0 + 7r = 15 + -15 + -30r 7r = 15 + -15 + -30r Combine like terms: 15 + -15 = 0 7r = 0 + -30r 7r = -30r Solving 7r = -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. 7r + 30r = -30r + 30r Combine like terms: 7r + 30r = 37r 37r = -30r + 30r Combine like terms: -30r + 30r = 0 37r = 0 Divide each side by '37'. r = 0 Simplifying r = 0
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