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Simplifying 3(4c + 1) + -17 = 2(3c + 2) + -3 Reorder the terms: 3(1 + 4c) + -17 = 2(3c + 2) + -3 (1 * 3 + 4c * 3) + -17 = 2(3c + 2) + -3 (3 + 12c) + -17 = 2(3c + 2) + -3 Reorder the terms: 3 + -17 + 12c = 2(3c + 2) + -3 Combine like terms: 3 + -17 = -14 -14 + 12c = 2(3c + 2) + -3 Reorder the terms: -14 + 12c = 2(2 + 3c) + -3 -14 + 12c = (2 * 2 + 3c * 2) + -3 -14 + 12c = (4 + 6c) + -3 Reorder the terms: -14 + 12c = 4 + -3 + 6c Combine like terms: 4 + -3 = 1 -14 + 12c = 1 + 6c Solving -14 + 12c = 1 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -14 + 12c + -6c = 1 + 6c + -6c Combine like terms: 12c + -6c = 6c -14 + 6c = 1 + 6c + -6c Combine like terms: 6c + -6c = 0 -14 + 6c = 1 + 0 -14 + 6c = 1 Add '14' to each side of the equation. -14 + 14 + 6c = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 6c = 1 + 14 6c = 1 + 14 Combine like terms: 1 + 14 = 15 6c = 15 Divide each side by '6'. c = 2.5 Simplifying c = 2.5
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