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Simplifying -7 + -9(n + 4) = 9 + -7(n + 4) Reorder the terms: -7 + -9(4 + n) = 9 + -7(n + 4) -7 + (4 * -9 + n * -9) = 9 + -7(n + 4) -7 + (-36 + -9n) = 9 + -7(n + 4) Combine like terms: -7 + -36 = -43 -43 + -9n = 9 + -7(n + 4) Reorder the terms: -43 + -9n = 9 + -7(4 + n) -43 + -9n = 9 + (4 * -7 + n * -7) -43 + -9n = 9 + (-28 + -7n) Combine like terms: 9 + -28 = -19 -43 + -9n = -19 + -7n Solving -43 + -9n = -19 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -43 + -9n + 7n = -19 + -7n + 7n Combine like terms: -9n + 7n = -2n -43 + -2n = -19 + -7n + 7n Combine like terms: -7n + 7n = 0 -43 + -2n = -19 + 0 -43 + -2n = -19 Add '43' to each side of the equation. -43 + 43 + -2n = -19 + 43 Combine like terms: -43 + 43 = 0 0 + -2n = -19 + 43 -2n = -19 + 43 Combine like terms: -19 + 43 = 24 -2n = 24 Divide each side by '-2'. n = -12 Simplifying n = -12
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