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Simplifying 9 + 3(4c + -2) + -2c = 15 + -2(c + -1) Reorder the terms: 9 + 3(-2 + 4c) + -2c = 15 + -2(c + -1) 9 + (-2 * 3 + 4c * 3) + -2c = 15 + -2(c + -1) 9 + (-6 + 12c) + -2c = 15 + -2(c + -1) Combine like terms: 9 + -6 = 3 3 + 12c + -2c = 15 + -2(c + -1) Combine like terms: 12c + -2c = 10c 3 + 10c = 15 + -2(c + -1) Reorder the terms: 3 + 10c = 15 + -2(-1 + c) 3 + 10c = 15 + (-1 * -2 + c * -2) 3 + 10c = 15 + (2 + -2c) Combine like terms: 15 + 2 = 17 3 + 10c = 17 + -2c Solving 3 + 10c = 17 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 3 + 10c + 2c = 17 + -2c + 2c Combine like terms: 10c + 2c = 12c 3 + 12c = 17 + -2c + 2c Combine like terms: -2c + 2c = 0 3 + 12c = 17 + 0 3 + 12c = 17 Add '-3' to each side of the equation. 3 + -3 + 12c = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 12c = 17 + -3 12c = 17 + -3 Combine like terms: 17 + -3 = 14 12c = 14 Divide each side by '12'. c = 1.166666667 Simplifying c = 1.166666667
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