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Simplifying 3(4c + 1) + -17 = 2(3c + 2) + -3c Reorder the terms: 3(1 + 4c) + -17 = 2(3c + 2) + -3c (1 * 3 + 4c * 3) + -17 = 2(3c + 2) + -3c (3 + 12c) + -17 = 2(3c + 2) + -3c Reorder the terms: 3 + -17 + 12c = 2(3c + 2) + -3c Combine like terms: 3 + -17 = -14 -14 + 12c = 2(3c + 2) + -3c Reorder the terms: -14 + 12c = 2(2 + 3c) + -3c -14 + 12c = (2 * 2 + 3c * 2) + -3c -14 + 12c = (4 + 6c) + -3c Combine like terms: 6c + -3c = 3c -14 + 12c = 4 + 3c Solving -14 + 12c = 4 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -14 + 12c + -3c = 4 + 3c + -3c Combine like terms: 12c + -3c = 9c -14 + 9c = 4 + 3c + -3c Combine like terms: 3c + -3c = 0 -14 + 9c = 4 + 0 -14 + 9c = 4 Add '14' to each side of the equation. -14 + 14 + 9c = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 9c = 4 + 14 9c = 4 + 14 Combine like terms: 4 + 14 = 18 9c = 18 Divide each side by '9'. c = 2 Simplifying c = 2
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