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Simplifying 5(5c + -1) + -2 = 22c + 2 Reorder the terms: 5(-1 + 5c) + -2 = 22c + 2 (-1 * 5 + 5c * 5) + -2 = 22c + 2 (-5 + 25c) + -2 = 22c + 2 Reorder the terms: -5 + -2 + 25c = 22c + 2 Combine like terms: -5 + -2 = -7 -7 + 25c = 22c + 2 Reorder the terms: -7 + 25c = 2 + 22c Solving -7 + 25c = 2 + 22c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22c' to each side of the equation. -7 + 25c + -22c = 2 + 22c + -22c Combine like terms: 25c + -22c = 3c -7 + 3c = 2 + 22c + -22c Combine like terms: 22c + -22c = 0 -7 + 3c = 2 + 0 -7 + 3c = 2 Add '7' to each side of the equation. -7 + 7 + 3c = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 3c = 2 + 7 3c = 2 + 7 Combine like terms: 2 + 7 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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