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Simplifying -15 = 5(3c + -10) + -5c Reorder the terms: -15 = 5(-10 + 3c) + -5c -15 = (-10 * 5 + 3c * 5) + -5c -15 = (-50 + 15c) + -5c Combine like terms: 15c + -5c = 10c -15 = -50 + 10c Solving -15 = -50 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -15 + -10c = -50 + 10c + -10c Combine like terms: 10c + -10c = 0 -15 + -10c = -50 + 0 -15 + -10c = -50 Add '15' to each side of the equation. -15 + 15 + -10c = -50 + 15 Combine like terms: -15 + 15 = 0 0 + -10c = -50 + 15 -10c = -50 + 15 Combine like terms: -50 + 15 = -35 -10c = -35 Divide each side by '-10'. c = 3.5 Simplifying c = 3.5
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