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Simplifying 8 + -2(c + -3) = 5c Reorder the terms: 8 + -2(-3 + c) = 5c 8 + (-3 * -2 + c * -2) = 5c 8 + (6 + -2c) = 5c Combine like terms: 8 + 6 = 14 14 + -2c = 5c Solving 14 + -2c = 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. 14 + -2c + -5c = 5c + -5c Combine like terms: -2c + -5c = -7c 14 + -7c = 5c + -5c Combine like terms: 5c + -5c = 0 14 + -7c = 0 Add '-14' to each side of the equation. 14 + -14 + -7c = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7c = 0 + -14 -7c = 0 + -14 Combine like terms: 0 + -14 = -14 -7c = -14 Divide each side by '-7'. c = 2 Simplifying c = 2
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