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Simplifying 15 = -5c + 7(c + 5) Reorder the terms: 15 = -5c + 7(5 + c) 15 = -5c + (5 * 7 + c * 7) 15 = -5c + (35 + 7c) Reorder the terms: 15 = 35 + -5c + 7c Combine like terms: -5c + 7c = 2c 15 = 35 + 2c Solving 15 = 35 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 15 + -2c = 35 + 2c + -2c Combine like terms: 2c + -2c = 0 15 + -2c = 35 + 0 15 + -2c = 35 Add '-15' to each side of the equation. 15 + -15 + -2c = 35 + -15 Combine like terms: 15 + -15 = 0 0 + -2c = 35 + -15 -2c = 35 + -15 Combine like terms: 35 + -15 = 20 -2c = 20 Divide each side by '-2'. c = -10 Simplifying c = -10
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