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Simplifying 5(n + -8) + 6(7 + -2n) = 0 Reorder the terms: 5(-8 + n) + 6(7 + -2n) = 0 (-8 * 5 + n * 5) + 6(7 + -2n) = 0 (-40 + 5n) + 6(7 + -2n) = 0 -40 + 5n + (7 * 6 + -2n * 6) = 0 -40 + 5n + (42 + -12n) = 0 Reorder the terms: -40 + 42 + 5n + -12n = 0 Combine like terms: -40 + 42 = 2 2 + 5n + -12n = 0 Combine like terms: 5n + -12n = -7n 2 + -7n = 0 Solving 2 + -7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7n = 0 + -2 -7n = 0 + -2 Combine like terms: 0 + -2 = -2 -7n = -2 Divide each side by '-7'. n = 0.2857142857 Simplifying n = 0.2857142857
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