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Simplifying -3(c + 5) = 2(c + 5) Reorder the terms: -3(5 + c) = 2(c + 5) (5 * -3 + c * -3) = 2(c + 5) (-15 + -3c) = 2(c + 5) Reorder the terms: -15 + -3c = 2(5 + c) -15 + -3c = (5 * 2 + c * 2) -15 + -3c = (10 + 2c) Solving -15 + -3c = 10 + 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 + -3c + -2c = 10 + 2c + -2c Combine like terms: -3c + -2c = -5c -15 + -5c = 10 + 2c + -2c Combine like terms: 2c + -2c = 0 -15 + -5c = 10 + 0 -15 + -5c = 10 Add '15' to each side of the equation. -15 + 15 + -5c = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -5c = 10 + 15 -5c = 10 + 15 Combine like terms: 10 + 15 = 25 -5c = 25 Divide each side by '-5'. c = -5 Simplifying c = -5
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