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Simplifying 6n + -7 = 6(7n + 6) + -7 Reorder the terms: -7 + 6n = 6(7n + 6) + -7 Reorder the terms: -7 + 6n = 6(6 + 7n) + -7 -7 + 6n = (6 * 6 + 7n * 6) + -7 -7 + 6n = (36 + 42n) + -7 Reorder the terms: -7 + 6n = 36 + -7 + 42n Combine like terms: 36 + -7 = 29 -7 + 6n = 29 + 42n Solving -7 + 6n = 29 + 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. -7 + 6n + -42n = 29 + 42n + -42n Combine like terms: 6n + -42n = -36n -7 + -36n = 29 + 42n + -42n Combine like terms: 42n + -42n = 0 -7 + -36n = 29 + 0 -7 + -36n = 29 Add '7' to each side of the equation. -7 + 7 + -36n = 29 + 7 Combine like terms: -7 + 7 = 0 0 + -36n = 29 + 7 -36n = 29 + 7 Combine like terms: 29 + 7 = 36 -36n = 36 Divide each side by '-36'. n = -1 Simplifying n = -1
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