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Simplifying -180 = -1n + -6(1 + -5n) -180 = -1n + (1 * -6 + -5n * -6) -180 = -1n + (-6 + 30n) Reorder the terms: -180 = -6 + -1n + 30n Combine like terms: -1n + 30n = 29n -180 = -6 + 29n Solving -180 = -6 + 29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29n' to each side of the equation. -180 + -29n = -6 + 29n + -29n Combine like terms: 29n + -29n = 0 -180 + -29n = -6 + 0 -180 + -29n = -6 Add '180' to each side of the equation. -180 + 180 + -29n = -6 + 180 Combine like terms: -180 + 180 = 0 0 + -29n = -6 + 180 -29n = -6 + 180 Combine like terms: -6 + 180 = 174 -29n = 174 Divide each side by '-29'. n = -6 Simplifying n = -6
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