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Simplifying 0 = 4(n + -9) + -1(3 + -1n) Reorder the terms: 0 = 4(-9 + n) + -1(3 + -1n) 0 = (-9 * 4 + n * 4) + -1(3 + -1n) 0 = (-36 + 4n) + -1(3 + -1n) 0 = -36 + 4n + (3 * -1 + -1n * -1) 0 = -36 + 4n + (-3 + 1n) Reorder the terms: 0 = -36 + -3 + 4n + 1n Combine like terms: -36 + -3 = -39 0 = -39 + 4n + 1n Combine like terms: 4n + 1n = 5n 0 = -39 + 5n Solving 0 = -39 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 0 + -5n = -39 + 5n + -5n Remove the zero: -5n = -39 + 5n + -5n Combine like terms: 5n + -5n = 0 -5n = -39 + 0 -5n = -39 Divide each side by '-5'. n = 7.8 Simplifying n = 7.8
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