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Simplifying 5c + 7 = 2(c + -10) Reorder the terms: 7 + 5c = 2(c + -10) Reorder the terms: 7 + 5c = 2(-10 + c) 7 + 5c = (-10 * 2 + c * 2) 7 + 5c = (-20 + 2c) Solving 7 + 5c = -20 + 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. 7 + 5c + -2c = -20 + 2c + -2c Combine like terms: 5c + -2c = 3c 7 + 3c = -20 + 2c + -2c Combine like terms: 2c + -2c = 0 7 + 3c = -20 + 0 7 + 3c = -20 Add '-7' to each side of the equation. 7 + -7 + 3c = -20 + -7 Combine like terms: 7 + -7 = 0 0 + 3c = -20 + -7 3c = -20 + -7 Combine like terms: -20 + -7 = -27 3c = -27 Divide each side by '3'. c = -9 Simplifying c = -9
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