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Simplifying 3(3c + 4) = 8(c + -2) Reorder the terms: 3(4 + 3c) = 8(c + -2) (4 * 3 + 3c * 3) = 8(c + -2) (12 + 9c) = 8(c + -2) Reorder the terms: 12 + 9c = 8(-2 + c) 12 + 9c = (-2 * 8 + c * 8) 12 + 9c = (-16 + 8c) Solving 12 + 9c = -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. 12 + 9c + -8c = -16 + 8c + -8c Combine like terms: 9c + -8c = 1c 12 + 1c = -16 + 8c + -8c Combine like terms: 8c + -8c = 0 12 + 1c = -16 + 0 12 + 1c = -16 Add '-12' to each side of the equation. 12 + -12 + 1c = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 1c = -16 + -12 1c = -16 + -12 Combine like terms: -16 + -12 = -28 1c = -28 Divide each side by '1'. c = -28 Simplifying c = -28
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