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Simplifying 13 + -1(2c + 2) = 2(c + 2) * 3 Reorder the terms: 13 + -1(2 + 2c) = 2(c + 2) * 3 13 + (2 * -1 + 2c * -1) = 2(c + 2) * 3 13 + (-2 + -2c) = 2(c + 2) * 3 Combine like terms: 13 + -2 = 11 11 + -2c = 2(c + 2) * 3 Reorder the terms: 11 + -2c = 2(2 + c) * 3 Reorder the terms for easier multiplication: 11 + -2c = 2 * 3(2 + c) Multiply 2 * 3 11 + -2c = 6(2 + c) 11 + -2c = (2 * 6 + c * 6) 11 + -2c = (12 + 6c) Solving 11 + -2c = 12 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 11 + -2c + -6c = 12 + 6c + -6c Combine like terms: -2c + -6c = -8c 11 + -8c = 12 + 6c + -6c Combine like terms: 6c + -6c = 0 11 + -8c = 12 + 0 11 + -8c = 12 Add '-11' to each side of the equation. 11 + -11 + -8c = 12 + -11 Combine like terms: 11 + -11 = 0 0 + -8c = 12 + -11 -8c = 12 + -11 Combine like terms: 12 + -11 = 1 -8c = 1 Divide each side by '-8'. c = -0.125 Simplifying c = -0.125
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