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Simplifying -7(3c + -8) + 4(9 + 11c) = 0 Reorder the terms: -7(-8 + 3c) + 4(9 + 11c) = 0 (-8 * -7 + 3c * -7) + 4(9 + 11c) = 0 (56 + -21c) + 4(9 + 11c) = 0 56 + -21c + (9 * 4 + 11c * 4) = 0 56 + -21c + (36 + 44c) = 0 Reorder the terms: 56 + 36 + -21c + 44c = 0 Combine like terms: 56 + 36 = 92 92 + -21c + 44c = 0 Combine like terms: -21c + 44c = 23c 92 + 23c = 0 Solving 92 + 23c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + -92 + 23c = 0 + -92 Combine like terms: 92 + -92 = 0 0 + 23c = 0 + -92 23c = 0 + -92 Combine like terms: 0 + -92 = -92 23c = -92 Divide each side by '23'. c = -4 Simplifying c = -4
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