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Simplifying 9(n + -4) + -7 = 32 + -2(n + 8) Reorder the terms: 9(-4 + n) + -7 = 32 + -2(n + 8) (-4 * 9 + n * 9) + -7 = 32 + -2(n + 8) (-36 + 9n) + -7 = 32 + -2(n + 8) Reorder the terms: -36 + -7 + 9n = 32 + -2(n + 8) Combine like terms: -36 + -7 = -43 -43 + 9n = 32 + -2(n + 8) Reorder the terms: -43 + 9n = 32 + -2(8 + n) -43 + 9n = 32 + (8 * -2 + n * -2) -43 + 9n = 32 + (-16 + -2n) Combine like terms: 32 + -16 = 16 -43 + 9n = 16 + -2n Solving -43 + 9n = 16 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -43 + 9n + 2n = 16 + -2n + 2n Combine like terms: 9n + 2n = 11n -43 + 11n = 16 + -2n + 2n Combine like terms: -2n + 2n = 0 -43 + 11n = 16 + 0 -43 + 11n = 16 Add '43' to each side of the equation. -43 + 43 + 11n = 16 + 43 Combine like terms: -43 + 43 = 0 0 + 11n = 16 + 43 11n = 16 + 43 Combine like terms: 16 + 43 = 59 11n = 59 Divide each side by '11'. n = 5.363636364 Simplifying n = 5.363636364
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