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Simplifying -32 + 2n = -8(5 + -3n) + 8 -32 + 2n = (5 * -8 + -3n * -8) + 8 -32 + 2n = (-40 + 24n) + 8 Reorder the terms: -32 + 2n = -40 + 8 + 24n Combine like terms: -40 + 8 = -32 -32 + 2n = -32 + 24n Add '32' to each side of the equation. -32 + 32 + 2n = -32 + 32 + 24n Combine like terms: -32 + 32 = 0 0 + 2n = -32 + 32 + 24n 2n = -32 + 32 + 24n Combine like terms: -32 + 32 = 0 2n = 0 + 24n 2n = 24n Solving 2n = 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 2n + -24n = 24n + -24n Combine like terms: 2n + -24n = -22n -22n = 24n + -24n Combine like terms: 24n + -24n = 0 -22n = 0 Divide each side by '-22'. n = 0 Simplifying n = 0
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