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Simplifying 6 + -4(n + 2) = 3n + 5(n + -8) Reorder the terms: 6 + -4(2 + n) = 3n + 5(n + -8) 6 + (2 * -4 + n * -4) = 3n + 5(n + -8) 6 + (-8 + -4n) = 3n + 5(n + -8) Combine like terms: 6 + -8 = -2 -2 + -4n = 3n + 5(n + -8) Reorder the terms: -2 + -4n = 3n + 5(-8 + n) -2 + -4n = 3n + (-8 * 5 + n * 5) -2 + -4n = 3n + (-40 + 5n) Reorder the terms: -2 + -4n = -40 + 3n + 5n Combine like terms: 3n + 5n = 8n -2 + -4n = -40 + 8n Solving -2 + -4n = -40 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -2 + -4n + -8n = -40 + 8n + -8n Combine like terms: -4n + -8n = -12n -2 + -12n = -40 + 8n + -8n Combine like terms: 8n + -8n = 0 -2 + -12n = -40 + 0 -2 + -12n = -40 Add '2' to each side of the equation. -2 + 2 + -12n = -40 + 2 Combine like terms: -2 + 2 = 0 0 + -12n = -40 + 2 -12n = -40 + 2 Combine like terms: -40 + 2 = -38 -12n = -38 Divide each side by '-12'. n = 3.166666667 Simplifying n = 3.166666667
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