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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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