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Simplifying 3(4c + -1) + -4 = 8c + 5 Reorder the terms: 3(-1 + 4c) + -4 = 8c + 5 (-1 * 3 + 4c * 3) + -4 = 8c + 5 (-3 + 12c) + -4 = 8c + 5 Reorder the terms: -3 + -4 + 12c = 8c + 5 Combine like terms: -3 + -4 = -7 -7 + 12c = 8c + 5 Reorder the terms: -7 + 12c = 5 + 8c Solving -7 + 12c = 5 + 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. -7 + 12c + -8c = 5 + 8c + -8c Combine like terms: 12c + -8c = 4c -7 + 4c = 5 + 8c + -8c Combine like terms: 8c + -8c = 0 -7 + 4c = 5 + 0 -7 + 4c = 5 Add '7' to each side of the equation. -7 + 7 + 4c = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 4c = 5 + 7 4c = 5 + 7 Combine like terms: 5 + 7 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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