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Simplifying -35 + 6n = 6(7n + 6) + 1 Reorder the terms: -35 + 6n = 6(6 + 7n) + 1 -35 + 6n = (6 * 6 + 7n * 6) + 1 -35 + 6n = (36 + 42n) + 1 Reorder the terms: -35 + 6n = 36 + 1 + 42n Combine like terms: 36 + 1 = 37 -35 + 6n = 37 + 42n Solving -35 + 6n = 37 + 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. -35 + 6n + -42n = 37 + 42n + -42n Combine like terms: 6n + -42n = -36n -35 + -36n = 37 + 42n + -42n Combine like terms: 42n + -42n = 0 -35 + -36n = 37 + 0 -35 + -36n = 37 Add '35' to each side of the equation. -35 + 35 + -36n = 37 + 35 Combine like terms: -35 + 35 = 0 0 + -36n = 37 + 35 -36n = 37 + 35 Combine like terms: 37 + 35 = 72 -36n = 72 Divide each side by '-36'. n = -2 Simplifying n = -2
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