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Simplifying 5(c + 2) = 7(c + -4) Reorder the terms: 5(2 + c) = 7(c + -4) (2 * 5 + c * 5) = 7(c + -4) (10 + 5c) = 7(c + -4) Reorder the terms: 10 + 5c = 7(-4 + c) 10 + 5c = (-4 * 7 + c * 7) 10 + 5c = (-28 + 7c) Solving 10 + 5c = -28 + 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. 10 + 5c + -7c = -28 + 7c + -7c Combine like terms: 5c + -7c = -2c 10 + -2c = -28 + 7c + -7c Combine like terms: 7c + -7c = 0 10 + -2c = -28 + 0 10 + -2c = -28 Add '-10' to each side of the equation. 10 + -10 + -2c = -28 + -10 Combine like terms: 10 + -10 = 0 0 + -2c = -28 + -10 -2c = -28 + -10 Combine like terms: -28 + -10 = -38 -2c = -38 Divide each side by '-2'. c = 19 Simplifying c = 19
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