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Simplifying 13 + -1(2c + 2) = 2(3c + 2) + 3c Reorder the terms: 13 + -1(2 + 2c) = 2(3c + 2) + 3c 13 + (2 * -1 + 2c * -1) = 2(3c + 2) + 3c 13 + (-2 + -2c) = 2(3c + 2) + 3c Combine like terms: 13 + -2 = 11 11 + -2c = 2(3c + 2) + 3c Reorder the terms: 11 + -2c = 2(2 + 3c) + 3c 11 + -2c = (2 * 2 + 3c * 2) + 3c 11 + -2c = (4 + 6c) + 3c Combine like terms: 6c + 3c = 9c 11 + -2c = 4 + 9c Solving 11 + -2c = 4 + 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. 11 + -2c + -9c = 4 + 9c + -9c Combine like terms: -2c + -9c = -11c 11 + -11c = 4 + 9c + -9c Combine like terms: 9c + -9c = 0 11 + -11c = 4 + 0 11 + -11c = 4 Add '-11' to each side of the equation. 11 + -11 + -11c = 4 + -11 Combine like terms: 11 + -11 = 0 0 + -11c = 4 + -11 -11c = 4 + -11 Combine like terms: 4 + -11 = -7 -11c = -7 Divide each side by '-11'. c = 0.6363636364 Simplifying c = 0.6363636364
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