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Simplifying 81 = 2(-5 + 7n) + -1n 81 = (-5 * 2 + 7n * 2) + -1n 81 = (-10 + 14n) + -1n Combine like terms: 14n + -1n = 13n 81 = -10 + 13n Solving 81 = -10 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 81 + -13n = -10 + 13n + -13n Combine like terms: 13n + -13n = 0 81 + -13n = -10 + 0 81 + -13n = -10 Add '-81' to each side of the equation. 81 + -81 + -13n = -10 + -81 Combine like terms: 81 + -81 = 0 0 + -13n = -10 + -81 -13n = -10 + -81 Combine like terms: -10 + -81 = -91 -13n = -91 Divide each side by '-13'. n = 7 Simplifying n = 7
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