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Simplifying 3(-2 + 3n) + -5n = 34 + -1n (-2 * 3 + 3n * 3) + -5n = 34 + -1n (-6 + 9n) + -5n = 34 + -1n Combine like terms: 9n + -5n = 4n -6 + 4n = 34 + -1n Solving -6 + 4n = 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. -6 + 4n + n = 34 + -1n + n Combine like terms: 4n + n = 5n -6 + 5n = 34 + -1n + n Combine like terms: -1n + n = 0 -6 + 5n = 34 + 0 -6 + 5n = 34 Add '6' to each side of the equation. -6 + 6 + 5n = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 5n = 34 + 6 5n = 34 + 6 Combine like terms: 34 + 6 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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