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Simplifying 10n + -1(n + 5) = 3n + 7 + -2n Reorder the terms: 10n + -1(5 + n) = 3n + 7 + -2n 10n + (5 * -1 + n * -1) = 3n + 7 + -2n 10n + (-5 + -1n) = 3n + 7 + -2n Reorder the terms: -5 + 10n + -1n = 3n + 7 + -2n Combine like terms: 10n + -1n = 9n -5 + 9n = 3n + 7 + -2n Reorder the terms: -5 + 9n = 7 + 3n + -2n Combine like terms: 3n + -2n = 1n -5 + 9n = 7 + 1n Solving -5 + 9n = 7 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -5 + 9n + -1n = 7 + 1n + -1n Combine like terms: 9n + -1n = 8n -5 + 8n = 7 + 1n + -1n Combine like terms: 1n + -1n = 0 -5 + 8n = 7 + 0 -5 + 8n = 7 Add '5' to each side of the equation. -5 + 5 + 8n = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 8n = 7 + 5 8n = 7 + 5 Combine like terms: 7 + 5 = 12 8n = 12 Divide each side by '8'. n = 1.5 Simplifying n = 1.5
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