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Simplifying 3(4c + -1) + -2 = 9c + 4 Reorder the terms: 3(-1 + 4c) + -2 = 9c + 4 (-1 * 3 + 4c * 3) + -2 = 9c + 4 (-3 + 12c) + -2 = 9c + 4 Reorder the terms: -3 + -2 + 12c = 9c + 4 Combine like terms: -3 + -2 = -5 -5 + 12c = 9c + 4 Reorder the terms: -5 + 12c = 4 + 9c Solving -5 + 12c = 4 + 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. -5 + 12c + -9c = 4 + 9c + -9c Combine like terms: 12c + -9c = 3c -5 + 3c = 4 + 9c + -9c Combine like terms: 9c + -9c = 0 -5 + 3c = 4 + 0 -5 + 3c = 4 Add '5' to each side of the equation. -5 + 5 + 3c = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 3c = 4 + 5 3c = 4 + 5 Combine like terms: 4 + 5 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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