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Simplifying 3(n + -9) + -1(8 + 7n) = -5n Reorder the terms: 3(-9 + n) + -1(8 + 7n) = -5n (-9 * 3 + n * 3) + -1(8 + 7n) = -5n (-27 + 3n) + -1(8 + 7n) = -5n -27 + 3n + (8 * -1 + 7n * -1) = -5n -27 + 3n + (-8 + -7n) = -5n Reorder the terms: -27 + -8 + 3n + -7n = -5n Combine like terms: -27 + -8 = -35 -35 + 3n + -7n = -5n Combine like terms: 3n + -7n = -4n -35 + -4n = -5n Solving -35 + -4n = -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. -35 + -4n + 5n = -5n + 5n Combine like terms: -4n + 5n = 1n -35 + 1n = -5n + 5n Combine like terms: -5n + 5n = 0 -35 + 1n = 0 Add '35' to each side of the equation. -35 + 35 + 1n = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 1n = 0 + 35 1n = 0 + 35 Combine like terms: 0 + 35 = 35 1n = 35 Divide each side by '1'. n = 35 Simplifying n = 35
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