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Simplifying 8 = 4(3c + 5) Reorder the terms: 8 = 4(5 + 3c) 8 = (5 * 4 + 3c * 4) 8 = (20 + 12c) Solving 8 = 20 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 8 + -12c = 20 + 12c + -12c Combine like terms: 12c + -12c = 0 8 + -12c = 20 + 0 8 + -12c = 20 Add '-8' to each side of the equation. 8 + -8 + -12c = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -12c = 20 + -8 -12c = 20 + -8 Combine like terms: 20 + -8 = 12 -12c = 12 Divide each side by '-12'. c = -1 Simplifying c = -1
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