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Simplifying 3[3c + -1] = 4[3c + 2] Reorder the terms: 3[-1 + 3c] = 4[3c + 2] [-1 * 3 + 3c * 3] = 4[3c + 2] [-3 + 9c] = 4[3c + 2] Reorder the terms: -3 + 9c = 4[2 + 3c] -3 + 9c = [2 * 4 + 3c * 4] -3 + 9c = [8 + 12c] Solving -3 + 9c = 8 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -3 + 9c + -12c = 8 + 12c + -12c Combine like terms: 9c + -12c = -3c -3 + -3c = 8 + 12c + -12c Combine like terms: 12c + -12c = 0 -3 + -3c = 8 + 0 -3 + -3c = 8 Add '3' to each side of the equation. -3 + 3 + -3c = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -3c = 8 + 3 -3c = 8 + 3 Combine like terms: 8 + 3 = 11 -3c = 11 Divide each side by '-3'. c = -3.666666667 Simplifying c = -3.666666667
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