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Simplifying 4(8 + c) = 3(c + -8) (8 * 4 + c * 4) = 3(c + -8) (32 + 4c) = 3(c + -8) Reorder the terms: 32 + 4c = 3(-8 + c) 32 + 4c = (-8 * 3 + c * 3) 32 + 4c = (-24 + 3c) Solving 32 + 4c = -24 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 32 + 4c + -3c = -24 + 3c + -3c Combine like terms: 4c + -3c = 1c 32 + 1c = -24 + 3c + -3c Combine like terms: 3c + -3c = 0 32 + 1c = -24 + 0 32 + 1c = -24 Add '-32' to each side of the equation. 32 + -32 + 1c = -24 + -32 Combine like terms: 32 + -32 = 0 0 + 1c = -24 + -32 1c = -24 + -32 Combine like terms: -24 + -32 = -56 1c = -56 Divide each side by '1'. c = -56 Simplifying c = -56
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