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Simplifying 2(3c + -4) = 31 + -8c Reorder the terms: 2(-4 + 3c) = 31 + -8c (-4 * 2 + 3c * 2) = 31 + -8c (-8 + 6c) = 31 + -8c Solving -8 + 6c = 31 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. -8 + 6c + 8c = 31 + -8c + 8c Combine like terms: 6c + 8c = 14c -8 + 14c = 31 + -8c + 8c Combine like terms: -8c + 8c = 0 -8 + 14c = 31 + 0 -8 + 14c = 31 Add '8' to each side of the equation. -8 + 8 + 14c = 31 + 8 Combine like terms: -8 + 8 = 0 0 + 14c = 31 + 8 14c = 31 + 8 Combine like terms: 31 + 8 = 39 14c = 39 Divide each side by '14'. c = 2.785714286 Simplifying c = 2.785714286
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