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Simplifying 8(c + -3) = 5c + 24 Reorder the terms: 8(-3 + c) = 5c + 24 (-3 * 8 + c * 8) = 5c + 24 (-24 + 8c) = 5c + 24 Reorder the terms: -24 + 8c = 24 + 5c Solving -24 + 8c = 24 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -24 + 8c + -5c = 24 + 5c + -5c Combine like terms: 8c + -5c = 3c -24 + 3c = 24 + 5c + -5c Combine like terms: 5c + -5c = 0 -24 + 3c = 24 + 0 -24 + 3c = 24 Add '24' to each side of the equation. -24 + 24 + 3c = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 3c = 24 + 24 3c = 24 + 24 Combine like terms: 24 + 24 = 48 3c = 48 Divide each side by '3'. c = 16 Simplifying c = 16
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