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Simplifying 4(3c + 4) = 8(c + -2) Reorder the terms: 4(4 + 3c) = 8(c + -2) (4 * 4 + 3c * 4) = 8(c + -2) (16 + 12c) = 8(c + -2) Reorder the terms: 16 + 12c = 8(-2 + c) 16 + 12c = (-2 * 8 + c * 8) 16 + 12c = (-16 + 8c) Solving 16 + 12c = -16 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 16 + 12c + -8c = -16 + 8c + -8c Combine like terms: 12c + -8c = 4c 16 + 4c = -16 + 8c + -8c Combine like terms: 8c + -8c = 0 16 + 4c = -16 + 0 16 + 4c = -16 Add '-16' to each side of the equation. 16 + -16 + 4c = -16 + -16 Combine like terms: 16 + -16 = 0 0 + 4c = -16 + -16 4c = -16 + -16 Combine like terms: -16 + -16 = -32 4c = -32 Divide each side by '4'. c = -8 Simplifying c = -8
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