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Simplifying 5(4c + 8) = -29 + -2c Reorder the terms: 5(8 + 4c) = -29 + -2c (8 * 5 + 4c * 5) = -29 + -2c (40 + 20c) = -29 + -2c Solving 40 + 20c = -29 + -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 + 20c + 2c = -29 + -2c + 2c Combine like terms: 20c + 2c = 22c 40 + 22c = -29 + -2c + 2c Combine like terms: -2c + 2c = 0 40 + 22c = -29 + 0 40 + 22c = -29 Add '-40' to each side of the equation. 40 + -40 + 22c = -29 + -40 Combine like terms: 40 + -40 = 0 0 + 22c = -29 + -40 22c = -29 + -40 Combine like terms: -29 + -40 = -69 22c = -69 Divide each side by '22'. c = -3.136363636 Simplifying c = -3.136363636
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