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Simplifying 8(4c + 7) = 18 + -1(2c + -7) + 3c Reorder the terms: 8(7 + 4c) = 18 + -1(2c + -7) + 3c (7 * 8 + 4c * 8) = 18 + -1(2c + -7) + 3c (56 + 32c) = 18 + -1(2c + -7) + 3c Reorder the terms: 56 + 32c = 18 + -1(-7 + 2c) + 3c 56 + 32c = 18 + (-7 * -1 + 2c * -1) + 3c 56 + 32c = 18 + (7 + -2c) + 3c Combine like terms: 18 + 7 = 25 56 + 32c = 25 + -2c + 3c Combine like terms: -2c + 3c = 1c 56 + 32c = 25 + 1c Solving 56 + 32c = 25 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 56 + 32c + -1c = 25 + 1c + -1c Combine like terms: 32c + -1c = 31c 56 + 31c = 25 + 1c + -1c Combine like terms: 1c + -1c = 0 56 + 31c = 25 + 0 56 + 31c = 25 Add '-56' to each side of the equation. 56 + -56 + 31c = 25 + -56 Combine like terms: 56 + -56 = 0 0 + 31c = 25 + -56 31c = 25 + -56 Combine like terms: 25 + -56 = -31 31c = -31 Divide each side by '31'. c = -1 Simplifying c = -1
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