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Simplifying 5(2c + 6) = 7(c + -15) Reorder the terms: 5(6 + 2c) = 7(c + -15) (6 * 5 + 2c * 5) = 7(c + -15) (30 + 10c) = 7(c + -15) Reorder the terms: 30 + 10c = 7(-15 + c) 30 + 10c = (-15 * 7 + c * 7) 30 + 10c = (-105 + 7c) Solving 30 + 10c = -105 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 30 + 10c + -7c = -105 + 7c + -7c Combine like terms: 10c + -7c = 3c 30 + 3c = -105 + 7c + -7c Combine like terms: 7c + -7c = 0 30 + 3c = -105 + 0 30 + 3c = -105 Add '-30' to each side of the equation. 30 + -30 + 3c = -105 + -30 Combine like terms: 30 + -30 = 0 0 + 3c = -105 + -30 3c = -105 + -30 Combine like terms: -105 + -30 = -135 3c = -135 Divide each side by '3'. c = -45 Simplifying c = -45
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