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Simplifying 6n + -39 = 5(n + -8) Reorder the terms: -39 + 6n = 5(n + -8) Reorder the terms: -39 + 6n = 5(-8 + n) -39 + 6n = (-8 * 5 + n * 5) -39 + 6n = (-40 + 5n) Solving -39 + 6n = -40 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -39 + 6n + -5n = -40 + 5n + -5n Combine like terms: 6n + -5n = 1n -39 + 1n = -40 + 5n + -5n Combine like terms: 5n + -5n = 0 -39 + 1n = -40 + 0 -39 + 1n = -40 Add '39' to each side of the equation. -39 + 39 + 1n = -40 + 39 Combine like terms: -39 + 39 = 0 0 + 1n = -40 + 39 1n = -40 + 39 Combine like terms: -40 + 39 = -1 1n = -1 Divide each side by '1'. n = -1 Simplifying n = -1
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