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Simplifying 5(n + -8) = 5 + 6n Reorder the terms: 5(-8 + n) = 5 + 6n (-8 * 5 + n * 5) = 5 + 6n (-40 + 5n) = 5 + 6n Solving -40 + 5n = 5 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -40 + 5n + -6n = 5 + 6n + -6n Combine like terms: 5n + -6n = -1n -40 + -1n = 5 + 6n + -6n Combine like terms: 6n + -6n = 0 -40 + -1n = 5 + 0 -40 + -1n = 5 Add '40' to each side of the equation. -40 + 40 + -1n = 5 + 40 Combine like terms: -40 + 40 = 0 0 + -1n = 5 + 40 -1n = 5 + 40 Combine like terms: 5 + 40 = 45 -1n = 45 Divide each side by '-1'. n = -45 Simplifying n = -45
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