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Simplifying -2(-1 + 4n) = -7 + n (-1 * -2 + 4n * -2) = -7 + n (2 + -8n) = -7 + n Solving 2 + -8n = -7 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 2 + -8n + -1n = -7 + n + -1n Combine like terms: -8n + -1n = -9n 2 + -9n = -7 + n + -1n Combine like terms: n + -1n = 0 2 + -9n = -7 + 0 2 + -9n = -7 Add '-2' to each side of the equation. 2 + -2 + -9n = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -9n = -7 + -2 -9n = -7 + -2 Combine like terms: -7 + -2 = -9 -9n = -9 Divide each side by '-9'. n = 1 Simplifying n = 1
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