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Simplifying -3(-1n + -4) + -2 = -1n + 34 Reorder the terms: -3(-4 + -1n) + -2 = -1n + 34 (-4 * -3 + -1n * -3) + -2 = -1n + 34 (12 + 3n) + -2 = -1n + 34 Reorder the terms: 12 + -2 + 3n = -1n + 34 Combine like terms: 12 + -2 = 10 10 + 3n = -1n + 34 Reorder the terms: 10 + 3n = 34 + -1n Solving 10 + 3n = 34 + -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. 10 + 3n + n = 34 + -1n + n Combine like terms: 3n + n = 4n 10 + 4n = 34 + -1n + n Combine like terms: -1n + n = 0 10 + 4n = 34 + 0 10 + 4n = 34 Add '-10' to each side of the equation. 10 + -10 + 4n = 34 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = 34 + -10 4n = 34 + -10 Combine like terms: 34 + -10 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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