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