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Simplifying 15(5c + -1) + -8 = 73c + 15 Reorder the terms: 15(-1 + 5c) + -8 = 73c + 15 (-1 * 15 + 5c * 15) + -8 = 73c + 15 (-15 + 75c) + -8 = 73c + 15 Reorder the terms: -15 + -8 + 75c = 73c + 15 Combine like terms: -15 + -8 = -23 -23 + 75c = 73c + 15 Reorder the terms: -23 + 75c = 15 + 73c Solving -23 + 75c = 15 + 73c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-73c' to each side of the equation. -23 + 75c + -73c = 15 + 73c + -73c Combine like terms: 75c + -73c = 2c -23 + 2c = 15 + 73c + -73c Combine like terms: 73c + -73c = 0 -23 + 2c = 15 + 0 -23 + 2c = 15 Add '23' to each side of the equation. -23 + 23 + 2c = 15 + 23 Combine like terms: -23 + 23 = 0 0 + 2c = 15 + 23 2c = 15 + 23 Combine like terms: 15 + 23 = 38 2c = 38 Divide each side by '2'. c = 19 Simplifying c = 19
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