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Simplifying -8n + n = -2(-1 + 8n) + -5(1 + -2n) Combine like terms: -8n + n = -7n -7n = -2(-1 + 8n) + -5(1 + -2n) -7n = (-1 * -2 + 8n * -2) + -5(1 + -2n) -7n = (2 + -16n) + -5(1 + -2n) -7n = 2 + -16n + (1 * -5 + -2n * -5) -7n = 2 + -16n + (-5 + 10n) Reorder the terms: -7n = 2 + -5 + -16n + 10n Combine like terms: 2 + -5 = -3 -7n = -3 + -16n + 10n Combine like terms: -16n + 10n = -6n -7n = -3 + -6n Solving -7n = -3 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -7n + 6n = -3 + -6n + 6n Combine like terms: -7n + 6n = -1n -1n = -3 + -6n + 6n Combine like terms: -6n + 6n = 0 -1n = -3 + 0 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3
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