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Simplifying 1(c + 9) + 3(5c + 3) = 146 Reorder the terms: 1(9 + c) + 3(5c + 3) = 146 (9 * 1 + c * 1) + 3(5c + 3) = 146 (9 + 1c) + 3(5c + 3) = 146 Reorder the terms: 9 + 1c + 3(3 + 5c) = 146 9 + 1c + (3 * 3 + 5c * 3) = 146 9 + 1c + (9 + 15c) = 146 Reorder the terms: 9 + 9 + 1c + 15c = 146 Combine like terms: 9 + 9 = 18 18 + 1c + 15c = 146 Combine like terms: 1c + 15c = 16c 18 + 16c = 146 Solving 18 + 16c = 146 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 16c = 146 + -18 Combine like terms: 18 + -18 = 0 0 + 16c = 146 + -18 16c = 146 + -18 Combine like terms: 146 + -18 = 128 16c = 128 Divide each side by '16'. c = 8 Simplifying c = 8
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