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Simplifying -5(1 + 6n) = 5n + -5 (1 * -5 + 6n * -5) = 5n + -5 (-5 + -30n) = 5n + -5 Reorder the terms: -5 + -30n = -5 + 5n Add '5' to each side of the equation. -5 + 5 + -30n = -5 + 5 + 5n Combine like terms: -5 + 5 = 0 0 + -30n = -5 + 5 + 5n -30n = -5 + 5 + 5n Combine like terms: -5 + 5 = 0 -30n = 0 + 5n -30n = 5n Solving -30n = 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. -30n + -5n = 5n + -5n Combine like terms: -30n + -5n = -35n -35n = 5n + -5n Combine like terms: 5n + -5n = 0 -35n = 0 Divide each side by '-35'. n = 0 Simplifying n = 0
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