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Simplifying 12 = -1(2 + c) + -1(4 + 2c) 12 = (2 * -1 + c * -1) + -1(4 + 2c) 12 = (-2 + -1c) + -1(4 + 2c) 12 = -2 + -1c + (4 * -1 + 2c * -1) 12 = -2 + -1c + (-4 + -2c) Reorder the terms: 12 = -2 + -4 + -1c + -2c Combine like terms: -2 + -4 = -6 12 = -6 + -1c + -2c Combine like terms: -1c + -2c = -3c 12 = -6 + -3c Solving 12 = -6 + -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. 12 + 3c = -6 + -3c + 3c Combine like terms: -3c + 3c = 0 12 + 3c = -6 + 0 12 + 3c = -6 Add '-12' to each side of the equation. 12 + -12 + 3c = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 3c = -6 + -12 3c = -6 + -12 Combine like terms: -6 + -12 = -18 3c = -18 Divide each side by '3'. c = -6 Simplifying c = -6
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