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Simplifying 8n + -2(-7 + -1n) = -2(-3 + -6n) 8n + (-7 * -2 + -1n * -2) = -2(-3 + -6n) 8n + (14 + 2n) = -2(-3 + -6n) Reorder the terms: 14 + 8n + 2n = -2(-3 + -6n) Combine like terms: 8n + 2n = 10n 14 + 10n = -2(-3 + -6n) 14 + 10n = (-3 * -2 + -6n * -2) 14 + 10n = (6 + 12n) Solving 14 + 10n = 6 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 14 + 10n + -12n = 6 + 12n + -12n Combine like terms: 10n + -12n = -2n 14 + -2n = 6 + 12n + -12n Combine like terms: 12n + -12n = 0 14 + -2n = 6 + 0 14 + -2n = 6 Add '-14' to each side of the equation. 14 + -14 + -2n = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = 6 + -14 -2n = 6 + -14 Combine like terms: 6 + -14 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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