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Simplifying 6c + 7 = 3(3c + 4) Reorder the terms: 7 + 6c = 3(3c + 4) Reorder the terms: 7 + 6c = 3(4 + 3c) 7 + 6c = (4 * 3 + 3c * 3) 7 + 6c = (12 + 9c) Solving 7 + 6c = 12 + 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. 7 + 6c + -9c = 12 + 9c + -9c Combine like terms: 6c + -9c = -3c 7 + -3c = 12 + 9c + -9c Combine like terms: 9c + -9c = 0 7 + -3c = 12 + 0 7 + -3c = 12 Add '-7' to each side of the equation. 7 + -7 + -3c = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -3c = 12 + -7 -3c = 12 + -7 Combine like terms: 12 + -7 = 5 -3c = 5 Divide each side by '-3'. c = -1.666666667 Simplifying c = -1.666666667
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