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Simplifying 2(4 + -1c) = 5(c + -2) (4 * 2 + -1c * 2) = 5(c + -2) (8 + -2c) = 5(c + -2) Reorder the terms: 8 + -2c = 5(-2 + c) 8 + -2c = (-2 * 5 + c * 5) 8 + -2c = (-10 + 5c) Solving 8 + -2c = -10 + 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. 8 + -2c + -5c = -10 + 5c + -5c Combine like terms: -2c + -5c = -7c 8 + -7c = -10 + 5c + -5c Combine like terms: 5c + -5c = 0 8 + -7c = -10 + 0 8 + -7c = -10 Add '-8' to each side of the equation. 8 + -8 + -7c = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -7c = -10 + -8 -7c = -10 + -8 Combine like terms: -10 + -8 = -18 -7c = -18 Divide each side by '-7'. c = 2.571428571 Simplifying c = 2.571428571
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