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Simplifying -8n + 10n = -8(n + 5) + -2(10 + -10n) Combine like terms: -8n + 10n = 2n 2n = -8(n + 5) + -2(10 + -10n) Reorder the terms: 2n = -8(5 + n) + -2(10 + -10n) 2n = (5 * -8 + n * -8) + -2(10 + -10n) 2n = (-40 + -8n) + -2(10 + -10n) 2n = -40 + -8n + (10 * -2 + -10n * -2) 2n = -40 + -8n + (-20 + 20n) Reorder the terms: 2n = -40 + -20 + -8n + 20n Combine like terms: -40 + -20 = -60 2n = -60 + -8n + 20n Combine like terms: -8n + 20n = 12n 2n = -60 + 12n Solving 2n = -60 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 2n + -12n = -60 + 12n + -12n Combine like terms: 2n + -12n = -10n -10n = -60 + 12n + -12n Combine like terms: 12n + -12n = 0 -10n = -60 + 0 -10n = -60 Divide each side by '-10'. n = 6 Simplifying n = 6
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