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Simplifying -34 + 5n = -6(1 + 5n) + 7 -34 + 5n = (1 * -6 + 5n * -6) + 7 -34 + 5n = (-6 + -30n) + 7 Reorder the terms: -34 + 5n = -6 + 7 + -30n Combine like terms: -6 + 7 = 1 -34 + 5n = 1 + -30n Solving -34 + 5n = 1 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -34 + 5n + 30n = 1 + -30n + 30n Combine like terms: 5n + 30n = 35n -34 + 35n = 1 + -30n + 30n Combine like terms: -30n + 30n = 0 -34 + 35n = 1 + 0 -34 + 35n = 1 Add '34' to each side of the equation. -34 + 34 + 35n = 1 + 34 Combine like terms: -34 + 34 = 0 0 + 35n = 1 + 34 35n = 1 + 34 Combine like terms: 1 + 34 = 35 35n = 35 Divide each side by '35'. n = 1 Simplifying n = 1
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