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Simplifying 15(8 + 2c) = 15(3c + -5) (8 * 15 + 2c * 15) = 15(3c + -5) (120 + 30c) = 15(3c + -5) Reorder the terms: 120 + 30c = 15(-5 + 3c) 120 + 30c = (-5 * 15 + 3c * 15) 120 + 30c = (-75 + 45c) Solving 120 + 30c = -75 + 45c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-45c' to each side of the equation. 120 + 30c + -45c = -75 + 45c + -45c Combine like terms: 30c + -45c = -15c 120 + -15c = -75 + 45c + -45c Combine like terms: 45c + -45c = 0 120 + -15c = -75 + 0 120 + -15c = -75 Add '-120' to each side of the equation. 120 + -120 + -15c = -75 + -120 Combine like terms: 120 + -120 = 0 0 + -15c = -75 + -120 -15c = -75 + -120 Combine like terms: -75 + -120 = -195 -15c = -195 Divide each side by '-15'. c = 13 Simplifying c = 13
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