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Simplifying 2.3(6c + -18) + 3.4(8c + 32) = 18 Reorder the terms: 2.3(-18 + 6c) + 3.4(8c + 32) = 18 (-18 * 2.3 + 6c * 2.3) + 3.4(8c + 32) = 18 (-41.4 + 13.8c) + 3.4(8c + 32) = 18 Reorder the terms: -41.4 + 13.8c + 3.4(32 + 8c) = 18 -41.4 + 13.8c + (32 * 3.4 + 8c * 3.4) = 18 -41.4 + 13.8c + (108.8 + 27.2c) = 18 Reorder the terms: -41.4 + 108.8 + 13.8c + 27.2c = 18 Combine like terms: -41.4 + 108.8 = 67.4 67.4 + 13.8c + 27.2c = 18 Combine like terms: 13.8c + 27.2c = 41c 67.4 + 41c = 18 Solving 67.4 + 41c = 18 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-67.4' to each side of the equation. 67.4 + -67.4 + 41c = 18 + -67.4 Combine like terms: 67.4 + -67.4 = 0.0 0.0 + 41c = 18 + -67.4 41c = 18 + -67.4 Combine like terms: 18 + -67.4 = -49.4 41c = -49.4 Divide each side by '41'. c = -1.204878049 Simplifying c = -1.204878049
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