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Simplifying 4(3c + -1) + -6c = 9c + 8 Reorder the terms: 4(-1 + 3c) + -6c = 9c + 8 (-1 * 4 + 3c * 4) + -6c = 9c + 8 (-4 + 12c) + -6c = 9c + 8 Combine like terms: 12c + -6c = 6c -4 + 6c = 9c + 8 Reorder the terms: -4 + 6c = 8 + 9c Solving -4 + 6c = 8 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -4 + 6c + -9c = 8 + 9c + -9c Combine like terms: 6c + -9c = -3c -4 + -3c = 8 + 9c + -9c Combine like terms: 9c + -9c = 0 -4 + -3c = 8 + 0 -4 + -3c = 8 Add '4' to each side of the equation. -4 + 4 + -3c = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -3c = 8 + 4 -3c = 8 + 4 Combine like terms: 8 + 4 = 12 -3c = 12 Divide each side by '-3'. c = -4 Simplifying c = -4
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