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Simplifying 5(3n + -8) + -3n = 2 + -2n Reorder the terms: 5(-8 + 3n) + -3n = 2 + -2n (-8 * 5 + 3n * 5) + -3n = 2 + -2n (-40 + 15n) + -3n = 2 + -2n Combine like terms: 15n + -3n = 12n -40 + 12n = 2 + -2n Solving -40 + 12n = 2 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -40 + 12n + 2n = 2 + -2n + 2n Combine like terms: 12n + 2n = 14n -40 + 14n = 2 + -2n + 2n Combine like terms: -2n + 2n = 0 -40 + 14n = 2 + 0 -40 + 14n = 2 Add '40' to each side of the equation. -40 + 40 + 14n = 2 + 40 Combine like terms: -40 + 40 = 0 0 + 14n = 2 + 40 14n = 2 + 40 Combine like terms: 2 + 40 = 42 14n = 42 Divide each side by '14'. n = 3 Simplifying n = 3
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