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Simplifying 4(n + -9) = 6(n + 7) Reorder the terms: 4(-9 + n) = 6(n + 7) (-9 * 4 + n * 4) = 6(n + 7) (-36 + 4n) = 6(n + 7) Reorder the terms: -36 + 4n = 6(7 + n) -36 + 4n = (7 * 6 + n * 6) -36 + 4n = (42 + 6n) Solving -36 + 4n = 42 + 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. -36 + 4n + -6n = 42 + 6n + -6n Combine like terms: 4n + -6n = -2n -36 + -2n = 42 + 6n + -6n Combine like terms: 6n + -6n = 0 -36 + -2n = 42 + 0 -36 + -2n = 42 Add '36' to each side of the equation. -36 + 36 + -2n = 42 + 36 Combine like terms: -36 + 36 = 0 0 + -2n = 42 + 36 -2n = 42 + 36 Combine like terms: 42 + 36 = 78 -2n = 78 Divide each side by '-2'. n = -39 Simplifying n = -39
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