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Simplifying 30 = 5(2 + 4c) 30 = (2 * 5 + 4c * 5) 30 = (10 + 20c) Solving 30 = 10 + 20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20c' to each side of the equation. 30 + -20c = 10 + 20c + -20c Combine like terms: 20c + -20c = 0 30 + -20c = 10 + 0 30 + -20c = 10 Add '-30' to each side of the equation. 30 + -30 + -20c = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -20c = 10 + -30 -20c = 10 + -30 Combine like terms: 10 + -30 = -20 -20c = -20 Divide each side by '-20'. c = 1 Simplifying c = 1
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