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Simplifying 5(5c + -1) + -6 = 22c + 7 Reorder the terms: 5(-1 + 5c) + -6 = 22c + 7 (-1 * 5 + 5c * 5) + -6 = 22c + 7 (-5 + 25c) + -6 = 22c + 7 Reorder the terms: -5 + -6 + 25c = 22c + 7 Combine like terms: -5 + -6 = -11 -11 + 25c = 22c + 7 Reorder the terms: -11 + 25c = 7 + 22c Solving -11 + 25c = 7 + 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. -11 + 25c + -22c = 7 + 22c + -22c Combine like terms: 25c + -22c = 3c -11 + 3c = 7 + 22c + -22c Combine like terms: 22c + -22c = 0 -11 + 3c = 7 + 0 -11 + 3c = 7 Add '11' to each side of the equation. -11 + 11 + 3c = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 3c = 7 + 11 3c = 7 + 11 Combine like terms: 7 + 11 = 18 3c = 18 Divide each side by '3'. c = 6 Simplifying c = 6
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