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Simplifying -4n + -34 = 5(-6 + -1n) Reorder the terms: -34 + -4n = 5(-6 + -1n) -34 + -4n = (-6 * 5 + -1n * 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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