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Simplifying 10(c + -1) = 2(22c + -5) Reorder the terms: 10(-1 + c) = 2(22c + -5) (-1 * 10 + c * 10) = 2(22c + -5) (-10 + 10c) = 2(22c + -5) Reorder the terms: -10 + 10c = 2(-5 + 22c) -10 + 10c = (-5 * 2 + 22c * 2) -10 + 10c = (-10 + 44c) Add '10' to each side of the equation. -10 + 10 + 10c = -10 + 10 + 44c Combine like terms: -10 + 10 = 0 0 + 10c = -10 + 10 + 44c 10c = -10 + 10 + 44c Combine like terms: -10 + 10 = 0 10c = 0 + 44c 10c = 44c Solving 10c = 44c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-44c' to each side of the equation. 10c + -44c = 44c + -44c Combine like terms: 10c + -44c = -34c -34c = 44c + -44c Combine like terms: 44c + -44c = 0 -34c = 0 Divide each side by '-34'. c = 0 Simplifying c = 0
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