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Simplifying 4(4c + -1) + -2 = 12c + 2 Reorder the terms: 4(-1 + 4c) + -2 = 12c + 2 (-1 * 4 + 4c * 4) + -2 = 12c + 2 (-4 + 16c) + -2 = 12c + 2 Reorder the terms: -4 + -2 + 16c = 12c + 2 Combine like terms: -4 + -2 = -6 -6 + 16c = 12c + 2 Reorder the terms: -6 + 16c = 2 + 12c Solving -6 + 16c = 2 + 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. -6 + 16c + -12c = 2 + 12c + -12c Combine like terms: 16c + -12c = 4c -6 + 4c = 2 + 12c + -12c Combine like terms: 12c + -12c = 0 -6 + 4c = 2 + 0 -6 + 4c = 2 Add '6' to each side of the equation. -6 + 6 + 4c = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4c = 2 + 6 4c = 2 + 6 Combine like terms: 2 + 6 = 8 4c = 8 Divide each side by '4'. c = 2 Simplifying c = 2
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