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Simplifying 3(c + 4) = 4(2c + -6) Reorder the terms: 3(4 + c) = 4(2c + -6) (4 * 3 + c * 3) = 4(2c + -6) (12 + 3c) = 4(2c + -6) Reorder the terms: 12 + 3c = 4(-6 + 2c) 12 + 3c = (-6 * 4 + 2c * 4) 12 + 3c = (-24 + 8c) Solving 12 + 3c = -24 + 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. 12 + 3c + -8c = -24 + 8c + -8c Combine like terms: 3c + -8c = -5c 12 + -5c = -24 + 8c + -8c Combine like terms: 8c + -8c = 0 12 + -5c = -24 + 0 12 + -5c = -24 Add '-12' to each side of the equation. 12 + -12 + -5c = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -5c = -24 + -12 -5c = -24 + -12 Combine like terms: -24 + -12 = -36 -5c = -36 Divide each side by '-5'. c = 7.2 Simplifying c = 7.2
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