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Simplifying -7n + 3(5n + -5) = -2n + 35 Reorder the terms: -7n + 3(-5 + 5n) = -2n + 35 -7n + (-5 * 3 + 5n * 3) = -2n + 35 -7n + (-15 + 15n) = -2n + 35 Reorder the terms: -15 + -7n + 15n = -2n + 35 Combine like terms: -7n + 15n = 8n -15 + 8n = -2n + 35 Reorder the terms: -15 + 8n = 35 + -2n Solving -15 + 8n = 35 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -15 + 8n + 2n = 35 + -2n + 2n Combine like terms: 8n + 2n = 10n -15 + 10n = 35 + -2n + 2n Combine like terms: -2n + 2n = 0 -15 + 10n = 35 + 0 -15 + 10n = 35 Add '15' to each side of the equation. -15 + 15 + 10n = 35 + 15 Combine like terms: -15 + 15 = 0 0 + 10n = 35 + 15 10n = 35 + 15 Combine like terms: 35 + 15 = 50 10n = 50 Divide each side by '10'. n = 5 Simplifying n = 5
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