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Simplifying n + -4 + 2 = 6(-2 + 5n) + -8(3n + 5) Reorder the terms: -4 + 2 + n = 6(-2 + 5n) + -8(3n + 5) Combine like terms: -4 + 2 = -2 -2 + n = 6(-2 + 5n) + -8(3n + 5) -2 + n = (-2 * 6 + 5n * 6) + -8(3n + 5) -2 + n = (-12 + 30n) + -8(3n + 5) Reorder the terms: -2 + n = -12 + 30n + -8(5 + 3n) -2 + n = -12 + 30n + (5 * -8 + 3n * -8) -2 + n = -12 + 30n + (-40 + -24n) Reorder the terms: -2 + n = -12 + -40 + 30n + -24n Combine like terms: -12 + -40 = -52 -2 + n = -52 + 30n + -24n Combine like terms: 30n + -24n = 6n -2 + n = -52 + 6n Solving -2 + n = -52 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -2 + n + -6n = -52 + 6n + -6n Combine like terms: n + -6n = -5n -2 + -5n = -52 + 6n + -6n Combine like terms: 6n + -6n = 0 -2 + -5n = -52 + 0 -2 + -5n = -52 Add '2' to each side of the equation. -2 + 2 + -5n = -52 + 2 Combine like terms: -2 + 2 = 0 0 + -5n = -52 + 2 -5n = -52 + 2 Combine like terms: -52 + 2 = -50 -5n = -50 Divide each side by '-5'. n = 10 Simplifying n = 10
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