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Simplifying -8n + -40 = 2n + 8(1 + -2n) Reorder the terms: -40 + -8n = 2n + 8(1 + -2n) -40 + -8n = 2n + (1 * 8 + -2n * 8) -40 + -8n = 2n + (8 + -16n) Reorder the terms: -40 + -8n = 8 + 2n + -16n Combine like terms: 2n + -16n = -14n -40 + -8n = 8 + -14n Solving -40 + -8n = 8 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -40 + -8n + 14n = 8 + -14n + 14n Combine like terms: -8n + 14n = 6n -40 + 6n = 8 + -14n + 14n Combine like terms: -14n + 14n = 0 -40 + 6n = 8 + 0 -40 + 6n = 8 Add '40' to each side of the equation. -40 + 40 + 6n = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 6n = 8 + 40 6n = 8 + 40 Combine like terms: 8 + 40 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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