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Simplifying 9(n + -5) + -1(7 + -1n) = 0 Reorder the terms: 9(-5 + n) + -1(7 + -1n) = 0 (-5 * 9 + n * 9) + -1(7 + -1n) = 0 (-45 + 9n) + -1(7 + -1n) = 0 -45 + 9n + (7 * -1 + -1n * -1) = 0 -45 + 9n + (-7 + 1n) = 0 Reorder the terms: -45 + -7 + 9n + 1n = 0 Combine like terms: -45 + -7 = -52 -52 + 9n + 1n = 0 Combine like terms: 9n + 1n = 10n -52 + 10n = 0 Solving -52 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 10n = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 10n = 0 + 52 10n = 0 + 52 Combine like terms: 0 + 52 = 52 10n = 52 Divide each side by '10'. n = 5.2 Simplifying n = 5.2
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