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Simplifying (5)(n + -8) = 9 + ((2)(-1n)) Reorder the terms: 5(-8 + n) = 9 + ((2)(-1n)) (-8 * 5 + n * 5) = 9 + ((2)(-1n)) (-40 + 5n) = 9 + ((2)(-1n)) Remove parenthesis around (-1n) -40 + 5n = 9 + (2 * -1n) Multiply 2 * -1 -40 + 5n = 9 + (-2n) Solving -40 + 5n = 9 + (-2n) Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '(2n)' to each side of the equation. -40 + 5n + (2n) = 9 + (-2n) + (2n) Combine like terms: 5n + (2n) = 7n -40 + 7n = 9 + (-2n) + (2n) Combine like terms: (-2n) + (2n) = 0 -40 + 7n = 9 + 0 -40 + 7n = 9 Add '40' to each side of the equation. -40 + 40 + 7n = 9 + 40 Combine like terms: -40 + 40 = 0 0 + 7n = 9 + 40 7n = 9 + 40 Combine like terms: 9 + 40 = 49 7n = 49 Divide each side by '7'. n = 7 Simplifying n = 7
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