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Simplifying 5(-1n + -8) + 7n = 2 + -4n Reorder the terms: 5(-8 + -1n) + 7n = 2 + -4n (-8 * 5 + -1n * 5) + 7n = 2 + -4n (-40 + -5n) + 7n = 2 + -4n Combine like terms: -5n + 7n = 2n -40 + 2n = 2 + -4n Solving -40 + 2n = 2 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -40 + 2n + 4n = 2 + -4n + 4n Combine like terms: 2n + 4n = 6n -40 + 6n = 2 + -4n + 4n Combine like terms: -4n + 4n = 0 -40 + 6n = 2 + 0 -40 + 6n = 2 Add '40' to each side of the equation. -40 + 40 + 6n = 2 + 40 Combine like terms: -40 + 40 = 0 0 + 6n = 2 + 40 6n = 2 + 40 Combine like terms: 2 + 40 = 42 6n = 42 Divide each side by '6'. n = 7 Simplifying n = 7
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