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Simplifying 3(5c + -2) = 3(c + -2) Reorder the terms: 3(-2 + 5c) = 3(c + -2) (-2 * 3 + 5c * 3) = 3(c + -2) (-6 + 15c) = 3(c + -2) Reorder the terms: -6 + 15c = 3(-2 + c) -6 + 15c = (-2 * 3 + c * 3) -6 + 15c = (-6 + 3c) Add '6' to each side of the equation. -6 + 6 + 15c = -6 + 6 + 3c Combine like terms: -6 + 6 = 0 0 + 15c = -6 + 6 + 3c 15c = -6 + 6 + 3c Combine like terms: -6 + 6 = 0 15c = 0 + 3c 15c = 3c Solving 15c = 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 15c + -3c = 3c + -3c Combine like terms: 15c + -3c = 12c 12c = 3c + -3c Combine like terms: 3c + -3c = 0 12c = 0 Divide each side by '12'. c = 0 Simplifying c = 0
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