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Simplifying (c + 4) * 3 + -6c = 2(4 + -2c) Reorder the terms: (4 + c) * 3 + -6c = 2(4 + -2c) Reorder the terms for easier multiplication: 3(4 + c) + -6c = 2(4 + -2c) (4 * 3 + c * 3) + -6c = 2(4 + -2c) (12 + 3c) + -6c = 2(4 + -2c) Combine like terms: 3c + -6c = -3c 12 + -3c = 2(4 + -2c) 12 + -3c = (4 * 2 + -2c * 2) 12 + -3c = (8 + -4c) Solving 12 + -3c = 8 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 12 + -3c + 4c = 8 + -4c + 4c Combine like terms: -3c + 4c = 1c 12 + 1c = 8 + -4c + 4c Combine like terms: -4c + 4c = 0 12 + 1c = 8 + 0 12 + 1c = 8 Add '-12' to each side of the equation. 12 + -12 + 1c = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 1c = 8 + -12 1c = 8 + -12 Combine like terms: 8 + -12 = -4 1c = -4 Divide each side by '1'. c = -4 Simplifying c = -4
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