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Simplifying 15 + 7r = -8(r + -8) + -4 Reorder the terms: 15 + 7r = -8(-8 + r) + -4 15 + 7r = (-8 * -8 + r * -8) + -4 15 + 7r = (64 + -8r) + -4 Reorder the terms: 15 + 7r = 64 + -4 + -8r Combine like terms: 64 + -4 = 60 15 + 7r = 60 + -8r Solving 15 + 7r = 60 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 15 + 7r + 8r = 60 + -8r + 8r Combine like terms: 7r + 8r = 15r 15 + 15r = 60 + -8r + 8r Combine like terms: -8r + 8r = 0 15 + 15r = 60 + 0 15 + 15r = 60 Add '-15' to each side of the equation. 15 + -15 + 15r = 60 + -15 Combine like terms: 15 + -15 = 0 0 + 15r = 60 + -15 15r = 60 + -15 Combine like terms: 60 + -15 = 45 15r = 45 Divide each side by '15'. r = 3 Simplifying r = 3
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