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Simplifying -35 + -6n = 7(6n + -5) Reorder the terms: -35 + -6n = 7(-5 + 6n) -35 + -6n = (-5 * 7 + 6n * 7) -35 + -6n = (-35 + 42n) Add '35' to each side of the equation. -35 + 35 + -6n = -35 + 35 + 42n Combine like terms: -35 + 35 = 0 0 + -6n = -35 + 35 + 42n -6n = -35 + 35 + 42n Combine like terms: -35 + 35 = 0 -6n = 0 + 42n -6n = 42n Solving -6n = 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. -6n + -42n = 42n + -42n Combine like terms: -6n + -42n = -48n -48n = 42n + -42n Combine like terms: 42n + -42n = 0 -48n = 0 Divide each side by '-48'. n = 0 Simplifying n = 0
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