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Simplifying 6(3c + -4) = 8(3 + c) Reorder the terms: 6(-4 + 3c) = 8(3 + c) (-4 * 6 + 3c * 6) = 8(3 + c) (-24 + 18c) = 8(3 + c) -24 + 18c = (3 * 8 + c * 8) -24 + 18c = (24 + 8c) Solving -24 + 18c = 24 + 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. -24 + 18c + -8c = 24 + 8c + -8c Combine like terms: 18c + -8c = 10c -24 + 10c = 24 + 8c + -8c Combine like terms: 8c + -8c = 0 -24 + 10c = 24 + 0 -24 + 10c = 24 Add '24' to each side of the equation. -24 + 24 + 10c = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 10c = 24 + 24 10c = 24 + 24 Combine like terms: 24 + 24 = 48 10c = 48 Divide each side by '10'. c = 4.8 Simplifying c = 4.8
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