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Simplifying 5(5c + -1) + -1 = 22c + 9 Reorder the terms: 5(-1 + 5c) + -1 = 22c + 9 (-1 * 5 + 5c * 5) + -1 = 22c + 9 (-5 + 25c) + -1 = 22c + 9 Reorder the terms: -5 + -1 + 25c = 22c + 9 Combine like terms: -5 + -1 = -6 -6 + 25c = 22c + 9 Reorder the terms: -6 + 25c = 9 + 22c Solving -6 + 25c = 9 + 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. -6 + 25c + -22c = 9 + 22c + -22c Combine like terms: 25c + -22c = 3c -6 + 3c = 9 + 22c + -22c Combine like terms: 22c + -22c = 0 -6 + 3c = 9 + 0 -6 + 3c = 9 Add '6' to each side of the equation. -6 + 6 + 3c = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3c = 9 + 6 3c = 9 + 6 Combine like terms: 9 + 6 = 15 3c = 15 Divide each side by '3'. c = 5 Simplifying c = 5
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