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Simplifying 10(5c + -1) + -12 = 48c + -10 Reorder the terms: 10(-1 + 5c) + -12 = 48c + -10 (-1 * 10 + 5c * 10) + -12 = 48c + -10 (-10 + 50c) + -12 = 48c + -10 Reorder the terms: -10 + -12 + 50c = 48c + -10 Combine like terms: -10 + -12 = -22 -22 + 50c = 48c + -10 Reorder the terms: -22 + 50c = -10 + 48c Solving -22 + 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. -22 + 50c + -48c = -10 + 48c + -48c Combine like terms: 50c + -48c = 2c -22 + 2c = -10 + 48c + -48c Combine like terms: 48c + -48c = 0 -22 + 2c = -10 + 0 -22 + 2c = -10 Add '22' to each side of the equation. -22 + 22 + 2c = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 2c = -10 + 22 2c = -10 + 22 Combine like terms: -10 + 22 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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