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Simplifying -8(n + 5) = -5(3n + 7) + 2n Reorder the terms: -8(5 + n) = -5(3n + 7) + 2n (5 * -8 + n * -8) = -5(3n + 7) + 2n (-40 + -8n) = -5(3n + 7) + 2n Reorder the terms: -40 + -8n = -5(7 + 3n) + 2n -40 + -8n = (7 * -5 + 3n * -5) + 2n -40 + -8n = (-35 + -15n) + 2n Combine like terms: -15n + 2n = -13n -40 + -8n = -35 + -13n Solving -40 + -8n = -35 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. -40 + -8n + 13n = -35 + -13n + 13n Combine like terms: -8n + 13n = 5n -40 + 5n = -35 + -13n + 13n Combine like terms: -13n + 13n = 0 -40 + 5n = -35 + 0 -40 + 5n = -35 Add '40' to each side of the equation. -40 + 40 + 5n = -35 + 40 Combine like terms: -40 + 40 = 0 0 + 5n = -35 + 40 5n = -35 + 40 Combine like terms: -35 + 40 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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