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Simplifying -3(4 + -5c) = 9c + 30 (4 * -3 + -5c * -3) = 9c + 30 (-12 + 15c) = 9c + 30 Reorder the terms: -12 + 15c = 30 + 9c Solving -12 + 15c = 30 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -12 + 15c + -9c = 30 + 9c + -9c Combine like terms: 15c + -9c = 6c -12 + 6c = 30 + 9c + -9c Combine like terms: 9c + -9c = 0 -12 + 6c = 30 + 0 -12 + 6c = 30 Add '12' to each side of the equation. -12 + 12 + 6c = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 6c = 30 + 12 6c = 30 + 12 Combine like terms: 30 + 12 = 42 6c = 42 Divide each side by '6'. c = 7 Simplifying c = 7
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