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Simplifying 2n + 8 = 3(n + -9) Reorder the terms: 8 + 2n = 3(n + -9) Reorder the terms: 8 + 2n = 3(-9 + n) 8 + 2n = (-9 * 3 + n * 3) 8 + 2n = (-27 + 3n) Solving 8 + 2n = -27 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 8 + 2n + -3n = -27 + 3n + -3n Combine like terms: 2n + -3n = -1n 8 + -1n = -27 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + -1n = -27 + 0 8 + -1n = -27 Add '-8' to each side of the equation. 8 + -8 + -1n = -27 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = -27 + -8 -1n = -27 + -8 Combine like terms: -27 + -8 = -35 -1n = -35 Divide each side by '-1'. n = 35 Simplifying n = 35
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