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