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Simplifying 13 + -2(c + 2) = 2(c + 2) + 3c Reorder the terms: 13 + -2(2 + c) = 2(c + 2) + 3c 13 + (2 * -2 + c * -2) = 2(c + 2) + 3c 13 + (-4 + -2c) = 2(c + 2) + 3c Combine like terms: 13 + -4 = 9 9 + -2c = 2(c + 2) + 3c Reorder the terms: 9 + -2c = 2(2 + c) + 3c 9 + -2c = (2 * 2 + c * 2) + 3c 9 + -2c = (4 + 2c) + 3c Combine like terms: 2c + 3c = 5c 9 + -2c = 4 + 5c Solving 9 + -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. 9 + -2c + -5c = 4 + 5c + -5c Combine like terms: -2c + -5c = -7c 9 + -7c = 4 + 5c + -5c Combine like terms: 5c + -5c = 0 9 + -7c = 4 + 0 9 + -7c = 4 Add '-9' to each side of the equation. 9 + -9 + -7c = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -7c = 4 + -9 -7c = 4 + -9 Combine like terms: 4 + -9 = -5 -7c = -5 Divide each side by '-7'. c = 0.7142857143 Simplifying c = 0.7142857143
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