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Simplifying 7(n + -5) + -1(4 + -3n) = 9 Reorder the terms: 7(-5 + n) + -1(4 + -3n) = 9 (-5 * 7 + n * 7) + -1(4 + -3n) = 9 (-35 + 7n) + -1(4 + -3n) = 9 -35 + 7n + (4 * -1 + -3n * -1) = 9 -35 + 7n + (-4 + 3n) = 9 Reorder the terms: -35 + -4 + 7n + 3n = 9 Combine like terms: -35 + -4 = -39 -39 + 7n + 3n = 9 Combine like terms: 7n + 3n = 10n -39 + 10n = 9 Solving -39 + 10n = 9 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 10n = 9 + 39 Combine like terms: -39 + 39 = 0 0 + 10n = 9 + 39 10n = 9 + 39 Combine like terms: 9 + 39 = 48 10n = 48 Divide each side by '10'. n = 4.8 Simplifying n = 4.8
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