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Simplifying 4n + -3(n + -9) = 5n + -5 Reorder the terms: 4n + -3(-9 + n) = 5n + -5 4n + (-9 * -3 + n * -3) = 5n + -5 4n + (27 + -3n) = 5n + -5 Reorder the terms: 27 + 4n + -3n = 5n + -5 Combine like terms: 4n + -3n = 1n 27 + 1n = 5n + -5 Reorder the terms: 27 + 1n = -5 + 5n Solving 27 + 1n = -5 + 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. 27 + 1n + -5n = -5 + 5n + -5n Combine like terms: 1n + -5n = -4n 27 + -4n = -5 + 5n + -5n Combine like terms: 5n + -5n = 0 27 + -4n = -5 + 0 27 + -4n = -5 Add '-27' to each side of the equation. 27 + -27 + -4n = -5 + -27 Combine like terms: 27 + -27 = 0 0 + -4n = -5 + -27 -4n = -5 + -27 Combine like terms: -5 + -27 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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