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Simplifying -7n + -9(1 + 11n) = 9(10n + -1) -7n + (1 * -9 + 11n * -9) = 9(10n + -1) -7n + (-9 + -99n) = 9(10n + -1) Reorder the terms: -9 + -7n + -99n = 9(10n + -1) Combine like terms: -7n + -99n = -106n -9 + -106n = 9(10n + -1) Reorder the terms: -9 + -106n = 9(-1 + 10n) -9 + -106n = (-1 * 9 + 10n * 9) -9 + -106n = (-9 + 90n) Add '9' to each side of the equation. -9 + 9 + -106n = -9 + 9 + 90n Combine like terms: -9 + 9 = 0 0 + -106n = -9 + 9 + 90n -106n = -9 + 9 + 90n Combine like terms: -9 + 9 = 0 -106n = 0 + 90n -106n = 90n Solving -106n = 90n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-90n' to each side of the equation. -106n + -90n = 90n + -90n Combine like terms: -106n + -90n = -196n -196n = 90n + -90n Combine like terms: 90n + -90n = 0 -196n = 0 Divide each side by '-196'. n = 0 Simplifying n = 0
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