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Simplifying -2(c + -4) + c = 5c + -3(6 + -2c) Reorder the terms: -2(-4 + c) + c = 5c + -3(6 + -2c) (-4 * -2 + c * -2) + c = 5c + -3(6 + -2c) (8 + -2c) + c = 5c + -3(6 + -2c) Combine like terms: -2c + c = -1c 8 + -1c = 5c + -3(6 + -2c) 8 + -1c = 5c + (6 * -3 + -2c * -3) 8 + -1c = 5c + (-18 + 6c) Reorder the terms: 8 + -1c = -18 + 5c + 6c Combine like terms: 5c + 6c = 11c 8 + -1c = -18 + 11c Solving 8 + -1c = -18 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. 8 + -1c + -11c = -18 + 11c + -11c Combine like terms: -1c + -11c = -12c 8 + -12c = -18 + 11c + -11c Combine like terms: 11c + -11c = 0 8 + -12c = -18 + 0 8 + -12c = -18 Add '-8' to each side of the equation. 8 + -8 + -12c = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -12c = -18 + -8 -12c = -18 + -8 Combine like terms: -18 + -8 = -26 -12c = -26 Divide each side by '-12'. c = 2.166666667 Simplifying c = 2.166666667
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