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Simplifying 4(4c + -1) + -2 = 4c + 8 Reorder the terms: 4(-1 + 4c) + -2 = 4c + 8 (-1 * 4 + 4c * 4) + -2 = 4c + 8 (-4 + 16c) + -2 = 4c + 8 Reorder the terms: -4 + -2 + 16c = 4c + 8 Combine like terms: -4 + -2 = -6 -6 + 16c = 4c + 8 Reorder the terms: -6 + 16c = 8 + 4c Solving -6 + 16c = 8 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -6 + 16c + -4c = 8 + 4c + -4c Combine like terms: 16c + -4c = 12c -6 + 12c = 8 + 4c + -4c Combine like terms: 4c + -4c = 0 -6 + 12c = 8 + 0 -6 + 12c = 8 Add '6' to each side of the equation. -6 + 6 + 12c = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 12c = 8 + 6 12c = 8 + 6 Combine like terms: 8 + 6 = 14 12c = 14 Divide each side by '12'. c = 1.166666667 Simplifying c = 1.166666667
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