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Simplifying 8(c + 3) = 12c + -4 Reorder the terms: 8(3 + c) = 12c + -4 (3 * 8 + c * 8) = 12c + -4 (24 + 8c) = 12c + -4 Reorder the terms: 24 + 8c = -4 + 12c Solving 24 + 8c = -4 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 24 + 8c + -12c = -4 + 12c + -12c Combine like terms: 8c + -12c = -4c 24 + -4c = -4 + 12c + -12c Combine like terms: 12c + -12c = 0 24 + -4c = -4 + 0 24 + -4c = -4 Add '-24' to each side of the equation. 24 + -24 + -4c = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -4c = -4 + -24 -4c = -4 + -24 Combine like terms: -4 + -24 = -28 -4c = -28 Divide each side by '-4'. c = 7 Simplifying c = 7
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