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Simplifying 7(c + 8) + 3(5c + -3) = 25 Reorder the terms: 7(8 + c) + 3(5c + -3) = 25 (8 * 7 + c * 7) + 3(5c + -3) = 25 (56 + 7c) + 3(5c + -3) = 25 Reorder the terms: 56 + 7c + 3(-3 + 5c) = 25 56 + 7c + (-3 * 3 + 5c * 3) = 25 56 + 7c + (-9 + 15c) = 25 Reorder the terms: 56 + -9 + 7c + 15c = 25 Combine like terms: 56 + -9 = 47 47 + 7c + 15c = 25 Combine like terms: 7c + 15c = 22c 47 + 22c = 25 Solving 47 + 22c = 25 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 22c = 25 + -47 Combine like terms: 47 + -47 = 0 0 + 22c = 25 + -47 22c = 25 + -47 Combine like terms: 25 + -47 = -22 22c = -22 Divide each side by '22'. c = -1 Simplifying c = -1
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