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Simplifying -3 + 9(-5n + -2) = -3(3n + -2) + 2 Reorder the terms: -3 + 9(-2 + -5n) = -3(3n + -2) + 2 -3 + (-2 * 9 + -5n * 9) = -3(3n + -2) + 2 -3 + (-18 + -45n) = -3(3n + -2) + 2 Combine like terms: -3 + -18 = -21 -21 + -45n = -3(3n + -2) + 2 Reorder the terms: -21 + -45n = -3(-2 + 3n) + 2 -21 + -45n = (-2 * -3 + 3n * -3) + 2 -21 + -45n = (6 + -9n) + 2 Reorder the terms: -21 + -45n = 6 + 2 + -9n Combine like terms: 6 + 2 = 8 -21 + -45n = 8 + -9n Solving -21 + -45n = 8 + -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. -21 + -45n + 9n = 8 + -9n + 9n Combine like terms: -45n + 9n = -36n -21 + -36n = 8 + -9n + 9n Combine like terms: -9n + 9n = 0 -21 + -36n = 8 + 0 -21 + -36n = 8 Add '21' to each side of the equation. -21 + 21 + -36n = 8 + 21 Combine like terms: -21 + 21 = 0 0 + -36n = 8 + 21 -36n = 8 + 21 Combine like terms: 8 + 21 = 29 -36n = 29 Divide each side by '-36'. n = -0.8055555556 Simplifying n = -0.8055555556
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