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Simplifying 13 + -1(2c + c) = 2(c + 2) + 3c Combine like terms: 2c + c = 3c 13 + -1(3c) = 2(c + 2) + 3c Remove parenthesis around (3c) 13 + -1 * 3c = 2(c + 2) + 3c Multiply -1 * 3 13 + -3c = 2(c + 2) + 3c Reorder the terms: 13 + -3c = 2(2 + c) + 3c 13 + -3c = (2 * 2 + c * 2) + 3c 13 + -3c = (4 + 2c) + 3c Combine like terms: 2c + 3c = 5c 13 + -3c = 4 + 5c Solving 13 + -3c = 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. 13 + -3c + -5c = 4 + 5c + -5c Combine like terms: -3c + -5c = -8c 13 + -8c = 4 + 5c + -5c Combine like terms: 5c + -5c = 0 13 + -8c = 4 + 0 13 + -8c = 4 Add '-13' to each side of the equation. 13 + -13 + -8c = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -8c = 4 + -13 -8c = 4 + -13 Combine like terms: 4 + -13 = -9 -8c = -9 Divide each side by '-8'. c = 1.125 Simplifying c = 1.125
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