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Simplifying 6(4 + 5c) = 2c + 52 (4 * 6 + 5c * 6) = 2c + 52 (24 + 30c) = 2c + 52 Reorder the terms: 24 + 30c = 52 + 2c Solving 24 + 30c = 52 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 24 + 30c + -2c = 52 + 2c + -2c Combine like terms: 30c + -2c = 28c 24 + 28c = 52 + 2c + -2c Combine like terms: 2c + -2c = 0 24 + 28c = 52 + 0 24 + 28c = 52 Add '-24' to each side of the equation. 24 + -24 + 28c = 52 + -24 Combine like terms: 24 + -24 = 0 0 + 28c = 52 + -24 28c = 52 + -24 Combine like terms: 52 + -24 = 28 28c = 28 Divide each side by '28'. c = 1 Simplifying c = 1
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