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Simplifying -5 + 2(9n + -1) = -43 + 6n Reorder the terms: -5 + 2(-1 + 9n) = -43 + 6n -5 + (-1 * 2 + 9n * 2) = -43 + 6n -5 + (-2 + 18n) = -43 + 6n Combine like terms: -5 + -2 = -7 -7 + 18n = -43 + 6n Solving -7 + 18n = -43 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -7 + 18n + -6n = -43 + 6n + -6n Combine like terms: 18n + -6n = 12n -7 + 12n = -43 + 6n + -6n Combine like terms: 6n + -6n = 0 -7 + 12n = -43 + 0 -7 + 12n = -43 Add '7' to each side of the equation. -7 + 7 + 12n = -43 + 7 Combine like terms: -7 + 7 = 0 0 + 12n = -43 + 7 12n = -43 + 7 Combine like terms: -43 + 7 = -36 12n = -36 Divide each side by '12'. n = -3 Simplifying n = -3
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