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Simplifying -5 = -1(1 + 6n) + -2(n + 2) -5 = (1 * -1 + 6n * -1) + -2(n + 2) -5 = (-1 + -6n) + -2(n + 2) Reorder the terms: -5 = -1 + -6n + -2(2 + n) -5 = -1 + -6n + (2 * -2 + n * -2) -5 = -1 + -6n + (-4 + -2n) Reorder the terms: -5 = -1 + -4 + -6n + -2n Combine like terms: -1 + -4 = -5 -5 = -5 + -6n + -2n Combine like terms: -6n + -2n = -8n -5 = -5 + -8n Add '5' to each side of the equation. -5 + 5 = -5 + 5 + -8n Combine like terms: -5 + 5 = 0 0 = -5 + 5 + -8n Combine like terms: -5 + 5 = 0 0 = 0 + -8n 0 = -8n Solving 0 = -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 0 + 8n = -8n + 8n Remove the zero: 8n = -8n + 8n Combine like terms: -8n + 8n = 0 8n = 0 Divide each side by '8'. n = 0 Simplifying n = 0
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