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Simplifying 7(c + 25) = 2(c + 20) Reorder the terms: 7(25 + c) = 2(c + 20) (25 * 7 + c * 7) = 2(c + 20) (175 + 7c) = 2(c + 20) Reorder the terms: 175 + 7c = 2(20 + c) 175 + 7c = (20 * 2 + c * 2) 175 + 7c = (40 + 2c) Solving 175 + 7c = 40 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 175 + 7c + -2c = 40 + 2c + -2c Combine like terms: 7c + -2c = 5c 175 + 5c = 40 + 2c + -2c Combine like terms: 2c + -2c = 0 175 + 5c = 40 + 0 175 + 5c = 40 Add '-175' to each side of the equation. 175 + -175 + 5c = 40 + -175 Combine like terms: 175 + -175 = 0 0 + 5c = 40 + -175 5c = 40 + -175 Combine like terms: 40 + -175 = -135 5c = -135 Divide each side by '5'. c = -27 Simplifying c = -27
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