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Simplifying -6(5n + 1) = 6(-7n + -5) Reorder the terms: -6(1 + 5n) = 6(-7n + -5) (1 * -6 + 5n * -6) = 6(-7n + -5) (-6 + -30n) = 6(-7n + -5) Reorder the terms: -6 + -30n = 6(-5 + -7n) -6 + -30n = (-5 * 6 + -7n * 6) -6 + -30n = (-30 + -42n) Solving -6 + -30n = -30 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. -6 + -30n + 42n = -30 + -42n + 42n Combine like terms: -30n + 42n = 12n -6 + 12n = -30 + -42n + 42n Combine like terms: -42n + 42n = 0 -6 + 12n = -30 + 0 -6 + 12n = -30 Add '6' to each side of the equation. -6 + 6 + 12n = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 12n = -30 + 6 12n = -30 + 6 Combine like terms: -30 + 6 = -24 12n = -24 Divide each side by '12'. n = -2 Simplifying n = -2
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