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Simplifying -7(8 + 2n) = -40 + -6n (8 * -7 + 2n * -7) = -40 + -6n (-56 + -14n) = -40 + -6n Solving -56 + -14n = -40 + -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. -56 + -14n + 6n = -40 + -6n + 6n Combine like terms: -14n + 6n = -8n -56 + -8n = -40 + -6n + 6n Combine like terms: -6n + 6n = 0 -56 + -8n = -40 + 0 -56 + -8n = -40 Add '56' to each side of the equation. -56 + 56 + -8n = -40 + 56 Combine like terms: -56 + 56 = 0 0 + -8n = -40 + 56 -8n = -40 + 56 Combine like terms: -40 + 56 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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