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Simplifying 3(4c + -1) + -6 = 9c + 6 Reorder the terms: 3(-1 + 4c) + -6 = 9c + 6 (-1 * 3 + 4c * 3) + -6 = 9c + 6 (-3 + 12c) + -6 = 9c + 6 Reorder the terms: -3 + -6 + 12c = 9c + 6 Combine like terms: -3 + -6 = -9 -9 + 12c = 9c + 6 Reorder the terms: -9 + 12c = 6 + 9c Solving -9 + 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. -9 + 12c + -9c = 6 + 9c + -9c Combine like terms: 12c + -9c = 3c -9 + 3c = 6 + 9c + -9c Combine like terms: 9c + -9c = 0 -9 + 3c = 6 + 0 -9 + 3c = 6 Add '9' to each side of the equation. -9 + 9 + 3c = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 3c = 6 + 9 3c = 6 + 9 Combine like terms: 6 + 9 = 15 3c = 15 Divide each side by '3'. c = 5 Simplifying c = 5
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