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Simplifying -6 + 42n + 4 = 10 + 9n + -45 Reorder the terms: -6 + 4 + 42n = 10 + 9n + -45 Combine like terms: -6 + 4 = -2 -2 + 42n = 10 + 9n + -45 Reorder the terms: -2 + 42n = 10 + -45 + 9n Combine like terms: 10 + -45 = -35 -2 + 42n = -35 + 9n Solving -2 + 42n = -35 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -2 + 42n + -9n = -35 + 9n + -9n Combine like terms: 42n + -9n = 33n -2 + 33n = -35 + 9n + -9n Combine like terms: 9n + -9n = 0 -2 + 33n = -35 + 0 -2 + 33n = -35 Add '2' to each side of the equation. -2 + 2 + 33n = -35 + 2 Combine like terms: -2 + 2 = 0 0 + 33n = -35 + 2 33n = -35 + 2 Combine like terms: -35 + 2 = -33 33n = -33 Divide each side by '33'. n = -1 Simplifying n = -1
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