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Simplifying -8n + -5 = -5(1 + 7n) Reorder the terms: -5 + -8n = -5(1 + 7n) -5 + -8n = (1 * -5 + 7n * -5) -5 + -8n = (-5 + -35n) Add '5' to each side of the equation. -5 + 5 + -8n = -5 + 5 + -35n Combine like terms: -5 + 5 = 0 0 + -8n = -5 + 5 + -35n -8n = -5 + 5 + -35n Combine like terms: -5 + 5 = 0 -8n = 0 + -35n -8n = -35n Solving -8n = -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -8n + 35n = -35n + 35n Combine like terms: -8n + 35n = 27n 27n = -35n + 35n Combine like terms: -35n + 35n = 0 27n = 0 Divide each side by '27'. n = 0 Simplifying n = 0
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