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Simplifying 34 + -4n = -5(n + -6) Reorder the terms: 34 + -4n = -5(-6 + n) 34 + -4n = (-6 * -5 + n * -5) 34 + -4n = (30 + -5n) Solving 34 + -4n = 30 + -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. 34 + -4n + 5n = 30 + -5n + 5n Combine like terms: -4n + 5n = 1n 34 + 1n = 30 + -5n + 5n Combine like terms: -5n + 5n = 0 34 + 1n = 30 + 0 34 + 1n = 30 Add '-34' to each side of the equation. 34 + -34 + 1n = 30 + -34 Combine like terms: 34 + -34 = 0 0 + 1n = 30 + -34 1n = 30 + -34 Combine like terms: 30 + -34 = -4 1n = -4 Divide each side by '1'. n = -4 Simplifying n = -4
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