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Simplifying 8 + -5n = 3n + -4(n + -9) Reorder the terms: 8 + -5n = 3n + -4(-9 + n) 8 + -5n = 3n + (-9 * -4 + n * -4) 8 + -5n = 3n + (36 + -4n) Reorder the terms: 8 + -5n = 36 + 3n + -4n Combine like terms: 3n + -4n = -1n 8 + -5n = 36 + -1n Solving 8 + -5n = 36 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 8 + -5n + n = 36 + -1n + n Combine like terms: -5n + n = -4n 8 + -4n = 36 + -1n + n Combine like terms: -1n + n = 0 8 + -4n = 36 + 0 8 + -4n = 36 Add '-8' to each side of the equation. 8 + -8 + -4n = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = 36 + -8 -4n = 36 + -8 Combine like terms: 36 + -8 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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