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Simplifying 11c + (3)(30) = 5(30 + c) Multiply 3 * 30 11c + 90 = 5(30 + c) Reorder the terms: 90 + 11c = 5(30 + c) 90 + 11c = (30 * 5 + c * 5) 90 + 11c = (150 + 5c) Solving 90 + 11c = 150 + 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. 90 + 11c + -5c = 150 + 5c + -5c Combine like terms: 11c + -5c = 6c 90 + 6c = 150 + 5c + -5c Combine like terms: 5c + -5c = 0 90 + 6c = 150 + 0 90 + 6c = 150 Add '-90' to each side of the equation. 90 + -90 + 6c = 150 + -90 Combine like terms: 90 + -90 = 0 0 + 6c = 150 + -90 6c = 150 + -90 Combine like terms: 150 + -90 = 60 6c = 60 Divide each side by '6'. c = 10 Simplifying c = 10
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