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Simplifying 13 + -1(2c + 12) = 2(c + 2) + 3c Reorder the terms: 13 + -1(12 + 2c) = 2(c + 2) + 3c 13 + (12 * -1 + 2c * -1) = 2(c + 2) + 3c 13 + (-12 + -2c) = 2(c + 2) + 3c Combine like terms: 13 + -12 = 1 1 + -2c = 2(c + 2) + 3c Reorder the terms: 1 + -2c = 2(2 + c) + 3c 1 + -2c = (2 * 2 + c * 2) + 3c 1 + -2c = (4 + 2c) + 3c Combine like terms: 2c + 3c = 5c 1 + -2c = 4 + 5c Solving 1 + -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. 1 + -2c + -5c = 4 + 5c + -5c Combine like terms: -2c + -5c = -7c 1 + -7c = 4 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + -7c = 4 + 0 1 + -7c = 4 Add '-1' to each side of the equation. 1 + -1 + -7c = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -7c = 4 + -1 -7c = 4 + -1 Combine like terms: 4 + -1 = 3 -7c = 3 Divide each side by '-7'. c = -0.4285714286 Simplifying c = -0.4285714286
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