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Simplifying 13 + -1(2c + 2) + 2(c + 2) = 3c Reorder the terms: 13 + -1(2 + 2c) + 2(c + 2) = 3c 13 + (2 * -1 + 2c * -1) + 2(c + 2) = 3c 13 + (-2 + -2c) + 2(c + 2) = 3c Reorder the terms: 13 + -2 + -2c + 2(2 + c) = 3c 13 + -2 + -2c + (2 * 2 + c * 2) = 3c 13 + -2 + -2c + (4 + 2c) = 3c Reorder the terms: 13 + -2 + 4 + -2c + 2c = 3c Combine like terms: 13 + -2 = 11 11 + 4 + -2c + 2c = 3c Combine like terms: 11 + 4 = 15 15 + -2c + 2c = 3c Combine like terms: -2c + 2c = 0 15 + 0 = 3c 15 = 3c Solving 15 = 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 15 + -3c = 3c + -3c Combine like terms: 3c + -3c = 0 15 + -3c = 0 Add '-15' to each side of the equation. 15 + -15 + -3c = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3c = 0 + -15 -3c = 0 + -15 Combine like terms: 0 + -15 = -15 -3c = -15 Divide each side by '-3'. c = 5 Simplifying c = 5
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