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Simplifying -81 = -6(n + 7) + -3 Reorder the terms: -81 = -6(7 + n) + -3 -81 = (7 * -6 + n * -6) + -3 -81 = (-42 + -6n) + -3 Reorder the terms: -81 = -42 + -3 + -6n Combine like terms: -42 + -3 = -45 -81 = -45 + -6n Solving -81 = -45 + -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. -81 + 6n = -45 + -6n + 6n Combine like terms: -6n + 6n = 0 -81 + 6n = -45 + 0 -81 + 6n = -45 Add '81' to each side of the equation. -81 + 81 + 6n = -45 + 81 Combine like terms: -81 + 81 = 0 0 + 6n = -45 + 81 6n = -45 + 81 Combine like terms: -45 + 81 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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