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Simplifying c(2c + 4) + 2(7 + -1c2) = 40 Reorder the terms: c(4 + 2c) + 2(7 + -1c2) = 40 (4 * c + 2c * c) + 2(7 + -1c2) = 40 (4c + 2c2) + 2(7 + -1c2) = 40 4c + 2c2 + (7 * 2 + -1c2 * 2) = 40 4c + 2c2 + (14 + -2c2) = 40 Reorder the terms: 14 + 4c + 2c2 + -2c2 = 40 Combine like terms: 2c2 + -2c2 = 0 14 + 4c + 0 = 40 14 + 4c = 40 Solving 14 + 4c = 40 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4c = 40 + -14 Combine like terms: 14 + -14 = 0 0 + 4c = 40 + -14 4c = 40 + -14 Combine like terms: 40 + -14 = 26 4c = 26 Divide each side by '4'. c = 6.5 Simplifying c = 6.5
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