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Simplifying -10 + 2n = -42n + 28 + 6 Reorder the terms: -10 + 2n = 28 + 6 + -42n Combine like terms: 28 + 6 = 34 -10 + 2n = 34 + -42n Solving -10 + 2n = 34 + -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. -10 + 2n + 42n = 34 + -42n + 42n Combine like terms: 2n + 42n = 44n -10 + 44n = 34 + -42n + 42n Combine like terms: -42n + 42n = 0 -10 + 44n = 34 + 0 -10 + 44n = 34 Add '10' to each side of the equation. -10 + 10 + 44n = 34 + 10 Combine like terms: -10 + 10 = 0 0 + 44n = 34 + 10 44n = 34 + 10 Combine like terms: 34 + 10 = 44 44n = 44 Divide each side by '44'. n = 1 Simplifying n = 1
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