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Simplifying -10 + 2n = -8n + 5(n + -7) Reorder the terms: -10 + 2n = -8n + 5(-7 + n) -10 + 2n = -8n + (-7 * 5 + n * 5) -10 + 2n = -8n + (-35 + 5n) Reorder the terms: -10 + 2n = -35 + -8n + 5n Combine like terms: -8n + 5n = -3n -10 + 2n = -35 + -3n Solving -10 + 2n = -35 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -10 + 2n + 3n = -35 + -3n + 3n Combine like terms: 2n + 3n = 5n -10 + 5n = -35 + -3n + 3n Combine like terms: -3n + 3n = 0 -10 + 5n = -35 + 0 -10 + 5n = -35 Add '10' to each side of the equation. -10 + 10 + 5n = -35 + 10 Combine like terms: -10 + 10 = 0 0 + 5n = -35 + 10 5n = -35 + 10 Combine like terms: -35 + 10 = -25 5n = -25 Divide each side by '5'. n = -5 Simplifying n = -5
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