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Simplifying -1(7n + 2) = 22 + 5n Reorder the terms: -1(2 + 7n) = 22 + 5n (2 * -1 + 7n * -1) = 22 + 5n (-2 + -7n) = 22 + 5n Solving -2 + -7n = 22 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -2 + -7n + -5n = 22 + 5n + -5n Combine like terms: -7n + -5n = -12n -2 + -12n = 22 + 5n + -5n Combine like terms: 5n + -5n = 0 -2 + -12n = 22 + 0 -2 + -12n = 22 Add '2' to each side of the equation. -2 + 2 + -12n = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -12n = 22 + 2 -12n = 22 + 2 Combine like terms: 22 + 2 = 24 -12n = 24 Divide each side by '-12'. n = -2 Simplifying n = -2
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