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Simplifying 5(n + -2) + 1 = -4n + 9 Reorder the terms: 5(-2 + n) + 1 = -4n + 9 (-2 * 5 + n * 5) + 1 = -4n + 9 (-10 + 5n) + 1 = -4n + 9 Reorder the terms: -10 + 1 + 5n = -4n + 9 Combine like terms: -10 + 1 = -9 -9 + 5n = -4n + 9 Reorder the terms: -9 + 5n = 9 + -4n Solving -9 + 5n = 9 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -9 + 5n + 4n = 9 + -4n + 4n Combine like terms: 5n + 4n = 9n -9 + 9n = 9 + -4n + 4n Combine like terms: -4n + 4n = 0 -9 + 9n = 9 + 0 -9 + 9n = 9 Add '9' to each side of the equation. -9 + 9 + 9n = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 9n = 9 + 9 9n = 9 + 9 Combine like terms: 9 + 9 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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