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Simplifying 3(4c + -1) + -5 = 8c + 8 Reorder the terms: 3(-1 + 4c) + -5 = 8c + 8 (-1 * 3 + 4c * 3) + -5 = 8c + 8 (-3 + 12c) + -5 = 8c + 8 Reorder the terms: -3 + -5 + 12c = 8c + 8 Combine like terms: -3 + -5 = -8 -8 + 12c = 8c + 8 Reorder the terms: -8 + 12c = 8 + 8c Solving -8 + 12c = 8 + 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. -8 + 12c + -8c = 8 + 8c + -8c Combine like terms: 12c + -8c = 4c -8 + 4c = 8 + 8c + -8c Combine like terms: 8c + -8c = 0 -8 + 4c = 8 + 0 -8 + 4c = 8 Add '8' to each side of the equation. -8 + 8 + 4c = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4c = 8 + 8 4c = 8 + 8 Combine like terms: 8 + 8 = 16 4c = 16 Divide each side by '4'. c = 4 Simplifying c = 4
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