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Simplifying 5(-2c + 7) = -3(4c + -9) Reorder the terms: 5(7 + -2c) = -3(4c + -9) (7 * 5 + -2c * 5) = -3(4c + -9) (35 + -10c) = -3(4c + -9) Reorder the terms: 35 + -10c = -3(-9 + 4c) 35 + -10c = (-9 * -3 + 4c * -3) 35 + -10c = (27 + -12c) Solving 35 + -10c = 27 + -12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12c' to each side of the equation. 35 + -10c + 12c = 27 + -12c + 12c Combine like terms: -10c + 12c = 2c 35 + 2c = 27 + -12c + 12c Combine like terms: -12c + 12c = 0 35 + 2c = 27 + 0 35 + 2c = 27 Add '-35' to each side of the equation. 35 + -35 + 2c = 27 + -35 Combine like terms: 35 + -35 = 0 0 + 2c = 27 + -35 2c = 27 + -35 Combine like terms: 27 + -35 = -8 2c = -8 Divide each side by '2'. c = -4 Simplifying c = -4
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