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Simplifying 13 + -1(2c + 3) = 2(c + 2) + 3c Reorder the terms: 13 + -1(3 + 2c) = 2(c + 2) + 3c 13 + (3 * -1 + 2c * -1) = 2(c + 2) + 3c 13 + (-3 + -2c) = 2(c + 2) + 3c Combine like terms: 13 + -3 = 10 10 + -2c = 2(c + 2) + 3c Reorder the terms: 10 + -2c = 2(2 + c) + 3c 10 + -2c = (2 * 2 + c * 2) + 3c 10 + -2c = (4 + 2c) + 3c Combine like terms: 2c + 3c = 5c 10 + -2c = 4 + 5c Solving 10 + -2c = 4 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 10 + -2c + -5c = 4 + 5c + -5c Combine like terms: -2c + -5c = -7c 10 + -7c = 4 + 5c + -5c Combine like terms: 5c + -5c = 0 10 + -7c = 4 + 0 10 + -7c = 4 Add '-10' to each side of the equation. 10 + -10 + -7c = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -7c = 4 + -10 -7c = 4 + -10 Combine like terms: 4 + -10 = -6 -7c = -6 Divide each side by '-7'. c = 0.8571428571 Simplifying c = 0.8571428571
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