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Simplifying -5(n + 8) = (8 + n) Reorder the terms: -5(8 + n) = (8 + n) (8 * -5 + n * -5) = (8 + n) (-40 + -5n) = (8 + n) Remove parenthesis around (8 + n) -40 + -5n = 8 + n Solving -40 + -5n = 8 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -40 + -5n + -1n = 8 + n + -1n Combine like terms: -5n + -1n = -6n -40 + -6n = 8 + n + -1n Combine like terms: n + -1n = 0 -40 + -6n = 8 + 0 -40 + -6n = 8 Add '40' to each side of the equation. -40 + 40 + -6n = 8 + 40 Combine like terms: -40 + 40 = 0 0 + -6n = 8 + 40 -6n = 8 + 40 Combine like terms: 8 + 40 = 48 -6n = 48 Divide each side by '-6'. n = -8 Simplifying n = -8
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