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