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Simplifying 7(5 + c) = 5(c + -2) (5 * 7 + c * 7) = 5(c + -2) (35 + 7c) = 5(c + -2) Reorder the terms: 35 + 7c = 5(-2 + c) 35 + 7c = (-2 * 5 + c * 5) 35 + 7c = (-10 + 5c) Solving 35 + 7c = -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. 35 + 7c + -5c = -10 + 5c + -5c Combine like terms: 7c + -5c = 2c 35 + 2c = -10 + 5c + -5c Combine like terms: 5c + -5c = 0 35 + 2c = -10 + 0 35 + 2c = -10 Add '-35' to each side of the equation. 35 + -35 + 2c = -10 + -35 Combine like terms: 35 + -35 = 0 0 + 2c = -10 + -35 2c = -10 + -35 Combine like terms: -10 + -35 = -45 2c = -45 Divide each side by '2'. c = -22.5 Simplifying c = -22.5
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