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Simplifying 6(5 + 2c) = 42 (5 * 6 + 2c * 6) = 42 (30 + 12c) = 42 Solving 30 + 12c = 42 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 12c = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 12c = 42 + -30 12c = 42 + -30 Combine like terms: 42 + -30 = 12 12c = 12 Divide each side by '12'. c = 1 Simplifying c = 1
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