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Simplifying 4(2c + 3) = 9c + -8 Reorder the terms: 4(3 + 2c) = 9c + -8 (3 * 4 + 2c * 4) = 9c + -8 (12 + 8c) = 9c + -8 Reorder the terms: 12 + 8c = -8 + 9c Solving 12 + 8c = -8 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 12 + 8c + -9c = -8 + 9c + -9c Combine like terms: 8c + -9c = -1c 12 + -1c = -8 + 9c + -9c Combine like terms: 9c + -9c = 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 = -20 -1c = -20 Divide each side by '-1'. c = 20 Simplifying c = 20
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