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Simplifying 5(c + 4) = 7(c + -2) Reorder the terms: 5(4 + c) = 7(c + -2) (4 * 5 + c * 5) = 7(c + -2) (20 + 5c) = 7(c + -2) Reorder the terms: 20 + 5c = 7(-2 + c) 20 + 5c = (-2 * 7 + c * 7) 20 + 5c = (-14 + 7c) Solving 20 + 5c = -14 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 20 + 5c + -7c = -14 + 7c + -7c Combine like terms: 5c + -7c = -2c 20 + -2c = -14 + 7c + -7c Combine like terms: 7c + -7c = 0 20 + -2c = -14 + 0 20 + -2c = -14 Add '-20' to each side of the equation. 20 + -20 + -2c = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -2c = -14 + -20 -2c = -14 + -20 Combine like terms: -14 + -20 = -34 -2c = -34 Divide each side by '-2'. c = 17 Simplifying c = 17
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