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Simplifying -133 = -7(6n + 7) Reorder the terms: -133 = -7(7 + 6n) -133 = (7 * -7 + 6n * -7) -133 = (-49 + -42n) Solving -133 = -49 + -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. -133 + 42n = -49 + -42n + 42n Combine like terms: -42n + 42n = 0 -133 + 42n = -49 + 0 -133 + 42n = -49 Add '133' to each side of the equation. -133 + 133 + 42n = -49 + 133 Combine like terms: -133 + 133 = 0 0 + 42n = -49 + 133 42n = -49 + 133 Combine like terms: -49 + 133 = 84 42n = 84 Divide each side by '42'. n = 2 Simplifying n = 2
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