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Simplifying -40 + -9n = -4 + 9(n + -2) Reorder the terms: -40 + -9n = -4 + 9(-2 + n) -40 + -9n = -4 + (-2 * 9 + n * 9) -40 + -9n = -4 + (-18 + 9n) Combine like terms: -4 + -18 = -22 -40 + -9n = -22 + 9n Solving -40 + -9n = -22 + 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. -40 + -9n + -9n = -22 + 9n + -9n Combine like terms: -9n + -9n = -18n -40 + -18n = -22 + 9n + -9n Combine like terms: 9n + -9n = 0 -40 + -18n = -22 + 0 -40 + -18n = -22 Add '40' to each side of the equation. -40 + 40 + -18n = -22 + 40 Combine like terms: -40 + 40 = 0 0 + -18n = -22 + 40 -18n = -22 + 40 Combine like terms: -22 + 40 = 18 -18n = 18 Divide each side by '-18'. n = -1 Simplifying n = -1
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