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Simplifying -3(3c + 5) = 2(10 + -1c) Reorder the terms: -3(5 + 3c) = 2(10 + -1c) (5 * -3 + 3c * -3) = 2(10 + -1c) (-15 + -9c) = 2(10 + -1c) -15 + -9c = (10 * 2 + -1c * 2) -15 + -9c = (20 + -2c) Solving -15 + -9c = 20 + -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. -15 + -9c + 2c = 20 + -2c + 2c Combine like terms: -9c + 2c = -7c -15 + -7c = 20 + -2c + 2c Combine like terms: -2c + 2c = 0 -15 + -7c = 20 + 0 -15 + -7c = 20 Add '15' to each side of the equation. -15 + 15 + -7c = 20 + 15 Combine like terms: -15 + 15 = 0 0 + -7c = 20 + 15 -7c = 20 + 15 Combine like terms: 20 + 15 = 35 -7c = 35 Divide each side by '-7'. c = -5 Simplifying c = -5
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