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Simplifying -22 + 6n = -7(-2 + -6n) -22 + 6n = (-2 * -7 + -6n * -7) -22 + 6n = (14 + 42n) Solving -22 + 6n = 14 + 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. -22 + 6n + -42n = 14 + 42n + -42n Combine like terms: 6n + -42n = -36n -22 + -36n = 14 + 42n + -42n Combine like terms: 42n + -42n = 0 -22 + -36n = 14 + 0 -22 + -36n = 14 Add '22' to each side of the equation. -22 + 22 + -36n = 14 + 22 Combine like terms: -22 + 22 = 0 0 + -36n = 14 + 22 -36n = 14 + 22 Combine like terms: 14 + 22 = 36 -36n = 36 Divide each side by '-36'. n = -1 Simplifying n = -1
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