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Simplifying 4n + n + -40 = 60 + 30n + -150 Reorder the terms: -40 + 4n + n = 60 + 30n + -150 Combine like terms: 4n + n = 5n -40 + 5n = 60 + 30n + -150 Reorder the terms: -40 + 5n = 60 + -150 + 30n Combine like terms: 60 + -150 = -90 -40 + 5n = -90 + 30n Solving -40 + 5n = -90 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. -40 + 5n + -30n = -90 + 30n + -30n Combine like terms: 5n + -30n = -25n -40 + -25n = -90 + 30n + -30n Combine like terms: 30n + -30n = 0 -40 + -25n = -90 + 0 -40 + -25n = -90 Add '40' to each side of the equation. -40 + 40 + -25n = -90 + 40 Combine like terms: -40 + 40 = 0 0 + -25n = -90 + 40 -25n = -90 + 40 Combine like terms: -90 + 40 = -50 -25n = -50 Divide each side by '-25'. n = 2 Simplifying n = 2
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