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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 11 + -2c = (2 * 2 + c * 2) + 3 11 + -2c = (4 + 2c) + 3 Reorder the terms: 11 + -2c = 4 + 3 + 2c Combine like terms: 4 + 3 = 7 11 + -2c = 7 + 2c Solving 11 + -2c = 7 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 11 + -2c + -2c = 7 + 2c + -2c Combine like terms: -2c + -2c = -4c 11 + -4c = 7 + 2c + -2c Combine like terms: 2c + -2c = 0 11 + -4c = 7 + 0 11 + -4c = 7 Add '-11' to each side of the equation. 11 + -11 + -4c = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -4c = 7 + -11 -4c = 7 + -11 Combine like terms: 7 + -11 = -4 -4c = -4 Divide each side by '-4'. c = 1 Simplifying c = 1
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