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Simplifying 4(7c + 1) + -24 = 24c + 4 Reorder the terms: 4(1 + 7c) + -24 = 24c + 4 (1 * 4 + 7c * 4) + -24 = 24c + 4 (4 + 28c) + -24 = 24c + 4 Reorder the terms: 4 + -24 + 28c = 24c + 4 Combine like terms: 4 + -24 = -20 -20 + 28c = 24c + 4 Reorder the terms: -20 + 28c = 4 + 24c Solving -20 + 28c = 4 + 24c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24c' to each side of the equation. -20 + 28c + -24c = 4 + 24c + -24c Combine like terms: 28c + -24c = 4c -20 + 4c = 4 + 24c + -24c Combine like terms: 24c + -24c = 0 -20 + 4c = 4 + 0 -20 + 4c = 4 Add '20' to each side of the equation. -20 + 20 + 4c = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 4c = 4 + 20 4c = 4 + 20 Combine like terms: 4 + 20 = 24 4c = 24 Divide each side by '4'. c = 6 Simplifying c = 6
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