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Simplifying 5n + -1(8n + 19) = 2 + -1(10n + -5) Reorder the terms: 5n + -1(19 + 8n) = 2 + -1(10n + -5) 5n + (19 * -1 + 8n * -1) = 2 + -1(10n + -5) 5n + (-19 + -8n) = 2 + -1(10n + -5) Reorder the terms: -19 + 5n + -8n = 2 + -1(10n + -5) Combine like terms: 5n + -8n = -3n -19 + -3n = 2 + -1(10n + -5) Reorder the terms: -19 + -3n = 2 + -1(-5 + 10n) -19 + -3n = 2 + (-5 * -1 + 10n * -1) -19 + -3n = 2 + (5 + -10n) Combine like terms: 2 + 5 = 7 -19 + -3n = 7 + -10n Solving -19 + -3n = 7 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -19 + -3n + 10n = 7 + -10n + 10n Combine like terms: -3n + 10n = 7n -19 + 7n = 7 + -10n + 10n Combine like terms: -10n + 10n = 0 -19 + 7n = 7 + 0 -19 + 7n = 7 Add '19' to each side of the equation. -19 + 19 + 7n = 7 + 19 Combine like terms: -19 + 19 = 0 0 + 7n = 7 + 19 7n = 7 + 19 Combine like terms: 7 + 19 = 26 7n = 26 Divide each side by '7'. n = 3.714285714 Simplifying n = 3.714285714
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