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Simplifying -4(c + 6) + 5(-9 + -3c) = 0 Reorder the terms: -4(6 + c) + 5(-9 + -3c) = 0 (6 * -4 + c * -4) + 5(-9 + -3c) = 0 (-24 + -4c) + 5(-9 + -3c) = 0 -24 + -4c + (-9 * 5 + -3c * 5) = 0 -24 + -4c + (-45 + -15c) = 0 Reorder the terms: -24 + -45 + -4c + -15c = 0 Combine like terms: -24 + -45 = -69 -69 + -4c + -15c = 0 Combine like terms: -4c + -15c = -19c -69 + -19c = 0 Solving -69 + -19c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + -19c = 0 + 69 Combine like terms: -69 + 69 = 0 0 + -19c = 0 + 69 -19c = 0 + 69 Combine like terms: 0 + 69 = 69 -19c = 69 Divide each side by '-19'. c = -3.631578947 Simplifying c = -3.631578947
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