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Simplifying 2(7c + -4) = 24 + 3c Reorder the terms: 2(-4 + 7c) = 24 + 3c (-4 * 2 + 7c * 2) = 24 + 3c (-8 + 14c) = 24 + 3c Solving -8 + 14c = 24 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -8 + 14c + -3c = 24 + 3c + -3c Combine like terms: 14c + -3c = 11c -8 + 11c = 24 + 3c + -3c Combine like terms: 3c + -3c = 0 -8 + 11c = 24 + 0 -8 + 11c = 24 Add '8' to each side of the equation. -8 + 8 + 11c = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 11c = 24 + 8 11c = 24 + 8 Combine like terms: 24 + 8 = 32 11c = 32 Divide each side by '11'. c = 2.909090909 Simplifying c = 2.909090909
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