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Simplifying -185 = -5n + 5(6n + -7) Reorder the terms: -185 = -5n + 5(-7 + 6n) -185 = -5n + (-7 * 5 + 6n * 5) -185 = -5n + (-35 + 30n) Reorder the terms: -185 = -35 + -5n + 30n Combine like terms: -5n + 30n = 25n -185 = -35 + 25n Solving -185 = -35 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. -185 + -25n = -35 + 25n + -25n Combine like terms: 25n + -25n = 0 -185 + -25n = -35 + 0 -185 + -25n = -35 Add '185' to each side of the equation. -185 + 185 + -25n = -35 + 185 Combine like terms: -185 + 185 = 0 0 + -25n = -35 + 185 -25n = -35 + 185 Combine like terms: -35 + 185 = 150 -25n = 150 Divide each side by '-25'. n = -6 Simplifying n = -6
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