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Simplifying 4(n + -9) = 7(n + 5) Reorder the terms: 4(-9 + n) = 7(n + 5) (-9 * 4 + n * 4) = 7(n + 5) (-36 + 4n) = 7(n + 5) Reorder the terms: -36 + 4n = 7(5 + n) -36 + 4n = (5 * 7 + n * 7) -36 + 4n = (35 + 7n) Solving -36 + 4n = 35 + 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. -36 + 4n + -7n = 35 + 7n + -7n Combine like terms: 4n + -7n = -3n -36 + -3n = 35 + 7n + -7n Combine like terms: 7n + -7n = 0 -36 + -3n = 35 + 0 -36 + -3n = 35 Add '36' to each side of the equation. -36 + 36 + -3n = 35 + 36 Combine like terms: -36 + 36 = 0 0 + -3n = 35 + 36 -3n = 35 + 36 Combine like terms: 35 + 36 = 71 -3n = 71 Divide each side by '-3'. n = -23.66666667 Simplifying n = -23.66666667
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