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Simplifying 4(c + 10) = 2c + 18 Reorder the terms: 4(10 + c) = 2c + 18 (10 * 4 + c * 4) = 2c + 18 (40 + 4c) = 2c + 18 Reorder the terms: 40 + 4c = 18 + 2c Solving 40 + 4c = 18 + 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. 40 + 4c + -2c = 18 + 2c + -2c Combine like terms: 4c + -2c = 2c 40 + 2c = 18 + 2c + -2c Combine like terms: 2c + -2c = 0 40 + 2c = 18 + 0 40 + 2c = 18 Add '-40' to each side of the equation. 40 + -40 + 2c = 18 + -40 Combine like terms: 40 + -40 = 0 0 + 2c = 18 + -40 2c = 18 + -40 Combine like terms: 18 + -40 = -22 2c = -22 Divide each side by '2'. c = -11 Simplifying c = -11
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