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Simplifying 4(3c + -1) = 5c + 24 Reorder the terms: 4(-1 + 3c) = 5c + 24 (-1 * 4 + 3c * 4) = 5c + 24 (-4 + 12c) = 5c + 24 Reorder the terms: -4 + 12c = 24 + 5c Solving -4 + 12c = 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. -4 + 12c + -5c = 24 + 5c + -5c Combine like terms: 12c + -5c = 7c -4 + 7c = 24 + 5c + -5c Combine like terms: 5c + -5c = 0 -4 + 7c = 24 + 0 -4 + 7c = 24 Add '4' to each side of the equation. -4 + 4 + 7c = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 7c = 24 + 4 7c = 24 + 4 Combine like terms: 24 + 4 = 28 7c = 28 Divide each side by '7'. c = 4 Simplifying c = 4
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