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Simplifying 10(5c + -1) + -8 = 48c + 10 Reorder the terms: 10(-1 + 5c) + -8 = 48c + 10 (-1 * 10 + 5c * 10) + -8 = 48c + 10 (-10 + 50c) + -8 = 48c + 10 Reorder the terms: -10 + -8 + 50c = 48c + 10 Combine like terms: -10 + -8 = -18 -18 + 50c = 48c + 10 Reorder the terms: -18 + 50c = 10 + 48c Solving -18 + 50c = 10 + 48c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-48c' to each side of the equation. -18 + 50c + -48c = 10 + 48c + -48c Combine like terms: 50c + -48c = 2c -18 + 2c = 10 + 48c + -48c Combine like terms: 48c + -48c = 0 -18 + 2c = 10 + 0 -18 + 2c = 10 Add '18' to each side of the equation. -18 + 18 + 2c = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 2c = 10 + 18 2c = 10 + 18 Combine like terms: 10 + 18 = 28 2c = 28 Divide each side by '2'. c = 14 Simplifying c = 14
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