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Simplifying 4(3c + -1) + -2 = 9c + 6 Reorder the terms: 4(-1 + 3c) + -2 = 9c + 6 (-1 * 4 + 3c * 4) + -2 = 9c + 6 (-4 + 12c) + -2 = 9c + 6 Reorder the terms: -4 + -2 + 12c = 9c + 6 Combine like terms: -4 + -2 = -6 -6 + 12c = 9c + 6 Reorder the terms: -6 + 12c = 6 + 9c Solving -6 + 12c = 6 + 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. -6 + 12c + -9c = 6 + 9c + -9c Combine like terms: 12c + -9c = 3c -6 + 3c = 6 + 9c + -9c Combine like terms: 9c + -9c = 0 -6 + 3c = 6 + 0 -6 + 3c = 6 Add '6' to each side of the equation. -6 + 6 + 3c = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3c = 6 + 6 3c = 6 + 6 Combine like terms: 6 + 6 = 12 3c = 12 Divide each side by '3'. c = 4 Simplifying c = 4
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