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Simplifying -1(-5n + -4) + -9(n + 2) = 1 + -9n + -10 Reorder the terms: -1(-4 + -5n) + -9(n + 2) = 1 + -9n + -10 (-4 * -1 + -5n * -1) + -9(n + 2) = 1 + -9n + -10 (4 + 5n) + -9(n + 2) = 1 + -9n + -10 Reorder the terms: 4 + 5n + -9(2 + n) = 1 + -9n + -10 4 + 5n + (2 * -9 + n * -9) = 1 + -9n + -10 4 + 5n + (-18 + -9n) = 1 + -9n + -10 Reorder the terms: 4 + -18 + 5n + -9n = 1 + -9n + -10 Combine like terms: 4 + -18 = -14 -14 + 5n + -9n = 1 + -9n + -10 Combine like terms: 5n + -9n = -4n -14 + -4n = 1 + -9n + -10 Reorder the terms: -14 + -4n = 1 + -10 + -9n Combine like terms: 1 + -10 = -9 -14 + -4n = -9 + -9n Solving -14 + -4n = -9 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -14 + -4n + 9n = -9 + -9n + 9n Combine like terms: -4n + 9n = 5n -14 + 5n = -9 + -9n + 9n Combine like terms: -9n + 9n = 0 -14 + 5n = -9 + 0 -14 + 5n = -9 Add '14' to each side of the equation. -14 + 14 + 5n = -9 + 14 Combine like terms: -14 + 14 = 0 0 + 5n = -9 + 14 5n = -9 + 14 Combine like terms: -9 + 14 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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