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Simplifying 4(6 + c) + -8 = 2(6c + 5) + 4 (6 * 4 + c * 4) + -8 = 2(6c + 5) + 4 (24 + 4c) + -8 = 2(6c + 5) + 4 Reorder the terms: 24 + -8 + 4c = 2(6c + 5) + 4 Combine like terms: 24 + -8 = 16 16 + 4c = 2(6c + 5) + 4 Reorder the terms: 16 + 4c = 2(5 + 6c) + 4 16 + 4c = (5 * 2 + 6c * 2) + 4 16 + 4c = (10 + 12c) + 4 Reorder the terms: 16 + 4c = 10 + 4 + 12c Combine like terms: 10 + 4 = 14 16 + 4c = 14 + 12c Solving 16 + 4c = 14 + 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. 16 + 4c + -12c = 14 + 12c + -12c Combine like terms: 4c + -12c = -8c 16 + -8c = 14 + 12c + -12c Combine like terms: 12c + -12c = 0 16 + -8c = 14 + 0 16 + -8c = 14 Add '-16' to each side of the equation. 16 + -16 + -8c = 14 + -16 Combine like terms: 16 + -16 = 0 0 + -8c = 14 + -16 -8c = 14 + -16 Combine like terms: 14 + -16 = -2 -8c = -2 Divide each side by '-8'. c = 0.25 Simplifying c = 0.25
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