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Simplifying (5 + n)(-8) = 9 + (2 + -1n) Reorder the terms for easier multiplication: -8(5 + n) = 9 + (2 + -1n) (5 * -8 + n * -8) = 9 + (2 + -1n) (-40 + -8n) = 9 + (2 + -1n) Remove parenthesis around (2 + -1n) -40 + -8n = 9 + 2 + -1n Combine like terms: 9 + 2 = 11 -40 + -8n = 11 + -1n Solving -40 + -8n = 11 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -40 + -8n + n = 11 + -1n + n Combine like terms: -8n + n = -7n -40 + -7n = 11 + -1n + n Combine like terms: -1n + n = 0 -40 + -7n = 11 + 0 -40 + -7n = 11 Add '40' to each side of the equation. -40 + 40 + -7n = 11 + 40 Combine like terms: -40 + 40 = 0 0 + -7n = 11 + 40 -7n = 11 + 40 Combine like terms: 11 + 40 = 51 -7n = 51 Divide each side by '-7'. n = -7.285714286 Simplifying n = -7.285714286
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