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Simplifying 7(n + -1) = 9(n + 9) Reorder the terms: 7(-1 + n) = 9(n + 9) (-1 * 7 + n * 7) = 9(n + 9) (-7 + 7n) = 9(n + 9) Reorder the terms: -7 + 7n = 9(9 + n) -7 + 7n = (9 * 9 + n * 9) -7 + 7n = (81 + 9n) Solving -7 + 7n = 81 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -7 + 7n + -9n = 81 + 9n + -9n Combine like terms: 7n + -9n = -2n -7 + -2n = 81 + 9n + -9n Combine like terms: 9n + -9n = 0 -7 + -2n = 81 + 0 -7 + -2n = 81 Add '7' to each side of the equation. -7 + 7 + -2n = 81 + 7 Combine like terms: -7 + 7 = 0 0 + -2n = 81 + 7 -2n = 81 + 7 Combine like terms: 81 + 7 = 88 -2n = 88 Divide each side by '-2'. n = -44 Simplifying n = -44
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