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Simplifying 8(4c + 7) = 5(3c + 1) Reorder the terms: 8(7 + 4c) = 5(3c + 1) (7 * 8 + 4c * 8) = 5(3c + 1) (56 + 32c) = 5(3c + 1) Reorder the terms: 56 + 32c = 5(1 + 3c) 56 + 32c = (1 * 5 + 3c * 5) 56 + 32c = (5 + 15c) Solving 56 + 32c = 5 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. 56 + 32c + -15c = 5 + 15c + -15c Combine like terms: 32c + -15c = 17c 56 + 17c = 5 + 15c + -15c Combine like terms: 15c + -15c = 0 56 + 17c = 5 + 0 56 + 17c = 5 Add '-56' to each side of the equation. 56 + -56 + 17c = 5 + -56 Combine like terms: 56 + -56 = 0 0 + 17c = 5 + -56 17c = 5 + -56 Combine like terms: 5 + -56 = -51 17c = -51 Divide each side by '17'. c = -3 Simplifying c = -3
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