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Simplifying 3(3c + 4) = 4(2c + -6) Reorder the terms: 3(4 + 3c) = 4(2c + -6) (4 * 3 + 3c * 3) = 4(2c + -6) (12 + 9c) = 4(2c + -6) Reorder the terms: 12 + 9c = 4(-6 + 2c) 12 + 9c = (-6 * 4 + 2c * 4) 12 + 9c = (-24 + 8c) Solving 12 + 9c = -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 + 9c + -8c = -24 + 8c + -8c Combine like terms: 9c + -8c = 1c 12 + 1c = -24 + 8c + -8c Combine like terms: 8c + -8c = 0 12 + 1c = -24 + 0 12 + 1c = -24 Add '-12' to each side of the equation. 12 + -12 + 1c = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 1c = -24 + -12 1c = -24 + -12 Combine like terms: -24 + -12 = -36 1c = -36 Divide each side by '1'. c = -36 Simplifying c = -36
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