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Simplifying 4(2 + c) = 3(c + -1) (2 * 4 + c * 4) = 3(c + -1) (8 + 4c) = 3(c + -1) Reorder the terms: 8 + 4c = 3(-1 + c) 8 + 4c = (-1 * 3 + c * 3) 8 + 4c = (-3 + 3c) Solving 8 + 4c = -3 + 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. 8 + 4c + -3c = -3 + 3c + -3c Combine like terms: 4c + -3c = 1c 8 + 1c = -3 + 3c + -3c Combine like terms: 3c + -3c = 0 8 + 1c = -3 + 0 8 + 1c = -3 Add '-8' to each side of the equation. 8 + -8 + 1c = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 1c = -3 + -8 1c = -3 + -8 Combine like terms: -3 + -8 = -11 1c = -11 Divide each side by '1'. c = -11 Simplifying c = -11
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