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Simplifying 5(5n + -7) = 10n + 2 Reorder the terms: 5(-7 + 5n) = 10n + 2 (-7 * 5 + 5n * 5) = 10n + 2 (-35 + 25n) = 10n + 2 Reorder the terms: -35 + 25n = 2 + 10n Solving -35 + 25n = 2 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -35 + 25n + -10n = 2 + 10n + -10n Combine like terms: 25n + -10n = 15n -35 + 15n = 2 + 10n + -10n Combine like terms: 10n + -10n = 0 -35 + 15n = 2 + 0 -35 + 15n = 2 Add '35' to each side of the equation. -35 + 35 + 15n = 2 + 35 Combine like terms: -35 + 35 = 0 0 + 15n = 2 + 35 15n = 2 + 35 Combine like terms: 2 + 35 = 37 15n = 37 Divide each side by '15'. n = 2.466666667 Simplifying n = 2.466666667
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