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Simplifying -7(5c + 9) + -3(12 + 11c) = 0 Reorder the terms: -7(9 + 5c) + -3(12 + 11c) = 0 (9 * -7 + 5c * -7) + -3(12 + 11c) = 0 (-63 + -35c) + -3(12 + 11c) = 0 -63 + -35c + (12 * -3 + 11c * -3) = 0 -63 + -35c + (-36 + -33c) = 0 Reorder the terms: -63 + -36 + -35c + -33c = 0 Combine like terms: -63 + -36 = -99 -99 + -35c + -33c = 0 Combine like terms: -35c + -33c = -68c -99 + -68c = 0 Solving -99 + -68c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '99' to each side of the equation. -99 + 99 + -68c = 0 + 99 Combine like terms: -99 + 99 = 0 0 + -68c = 0 + 99 -68c = 0 + 99 Combine like terms: 0 + 99 = 99 -68c = 99 Divide each side by '-68'. c = -1.455882353 Simplifying c = -1.455882353
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