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Simplifying 9(5 + -2n) = -7(4n + -2) (5 * 9 + -2n * 9) = -7(4n + -2) (45 + -18n) = -7(4n + -2) Reorder the terms: 45 + -18n = -7(-2 + 4n) 45 + -18n = (-2 * -7 + 4n * -7) 45 + -18n = (14 + -28n) Solving 45 + -18n = 14 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 45 + -18n + 28n = 14 + -28n + 28n Combine like terms: -18n + 28n = 10n 45 + 10n = 14 + -28n + 28n Combine like terms: -28n + 28n = 0 45 + 10n = 14 + 0 45 + 10n = 14 Add '-45' to each side of the equation. 45 + -45 + 10n = 14 + -45 Combine like terms: 45 + -45 = 0 0 + 10n = 14 + -45 10n = 14 + -45 Combine like terms: 14 + -45 = -31 10n = -31 Divide each side by '10'. n = -3.1 Simplifying n = -3.1
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