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Simplifying -40 + 2n = 4n + -8(n + 8) Reorder the terms: -40 + 2n = 4n + -8(8 + n) -40 + 2n = 4n + (8 * -8 + n * -8) -40 + 2n = 4n + (-64 + -8n) Reorder the terms: -40 + 2n = -64 + 4n + -8n Combine like terms: 4n + -8n = -4n -40 + 2n = -64 + -4n Solving -40 + 2n = -64 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -40 + 2n + 4n = -64 + -4n + 4n Combine like terms: 2n + 4n = 6n -40 + 6n = -64 + -4n + 4n Combine like terms: -4n + 4n = 0 -40 + 6n = -64 + 0 -40 + 6n = -64 Add '40' to each side of the equation. -40 + 40 + 6n = -64 + 40 Combine like terms: -40 + 40 = 0 0 + 6n = -64 + 40 6n = -64 + 40 Combine like terms: -64 + 40 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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