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Simplifying -2n + 22 = 6 + -7(n + -8) Reorder the terms: 22 + -2n = 6 + -7(n + -8) Reorder the terms: 22 + -2n = 6 + -7(-8 + n) 22 + -2n = 6 + (-8 * -7 + n * -7) 22 + -2n = 6 + (56 + -7n) Combine like terms: 6 + 56 = 62 22 + -2n = 62 + -7n Solving 22 + -2n = 62 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 22 + -2n + 7n = 62 + -7n + 7n Combine like terms: -2n + 7n = 5n 22 + 5n = 62 + -7n + 7n Combine like terms: -7n + 7n = 0 22 + 5n = 62 + 0 22 + 5n = 62 Add '-22' to each side of the equation. 22 + -22 + 5n = 62 + -22 Combine like terms: 22 + -22 = 0 0 + 5n = 62 + -22 5n = 62 + -22 Combine like terms: 62 + -22 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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