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Simplifying -3(4 + -5c) = 12c + 9 (4 * -3 + -5c * -3) = 12c + 9 (-12 + 15c) = 12c + 9 Reorder the terms: -12 + 15c = 9 + 12c Solving -12 + 15c = 9 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -12 + 15c + -12c = 9 + 12c + -12c Combine like terms: 15c + -12c = 3c -12 + 3c = 9 + 12c + -12c Combine like terms: 12c + -12c = 0 -12 + 3c = 9 + 0 -12 + 3c = 9 Add '12' to each side of the equation. -12 + 12 + 3c = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 3c = 9 + 12 3c = 9 + 12 Combine like terms: 9 + 12 = 21 3c = 21 Divide each side by '3'. c = 7 Simplifying c = 7
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