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Simplifying 3n + 5(-8 + -5n) = 92 3n + (-8 * 5 + -5n * 5) = 92 3n + (-40 + -25n) = 92 Reorder the terms: -40 + 3n + -25n = 92 Combine like terms: 3n + -25n = -22n -40 + -22n = 92 Solving -40 + -22n = 92 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -22n = 92 + 40 Combine like terms: -40 + 40 = 0 0 + -22n = 92 + 40 -22n = 92 + 40 Combine like terms: 92 + 40 = 132 -22n = 132 Divide each side by '-22'. n = -6 Simplifying n = -6
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