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Simplifying 9(5n + -7) = 10n + 2 Reorder the terms: 9(-7 + 5n) = 10n + 2 (-7 * 9 + 5n * 9) = 10n + 2 (-63 + 45n) = 10n + 2 Reorder the terms: -63 + 45n = 2 + 10n Solving -63 + 45n = 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. -63 + 45n + -10n = 2 + 10n + -10n Combine like terms: 45n + -10n = 35n -63 + 35n = 2 + 10n + -10n Combine like terms: 10n + -10n = 0 -63 + 35n = 2 + 0 -63 + 35n = 2 Add '63' to each side of the equation. -63 + 63 + 35n = 2 + 63 Combine like terms: -63 + 63 = 0 0 + 35n = 2 + 63 35n = 2 + 63 Combine like terms: 2 + 63 = 65 35n = 65 Divide each side by '35'. n = 1.857142857 Simplifying n = 1.857142857
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