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Simplifying 7n + -2 = 5 + -1(9 + -1n) Reorder the terms: -2 + 7n = 5 + -1(9 + -1n) -2 + 7n = 5 + (9 * -1 + -1n * -1) -2 + 7n = 5 + (-9 + 1n) Combine like terms: 5 + -9 = -4 -2 + 7n = -4 + 1n Solving -2 + 7n = -4 + 1n 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 + 7n + -1n = -4 + 1n + -1n Combine like terms: 7n + -1n = 6n -2 + 6n = -4 + 1n + -1n Combine like terms: 1n + -1n = 0 -2 + 6n = -4 + 0 -2 + 6n = -4 Add '2' to each side of the equation. -2 + 2 + 6n = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 6n = -4 + 2 6n = -4 + 2 Combine like terms: -4 + 2 = -2 6n = -2 Divide each side by '6'. n = -0.3333333333 Simplifying n = -0.3333333333
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