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Simplifying -37 + 2n = n + 7(7 + -6n) -37 + 2n = n + (7 * 7 + -6n * 7) -37 + 2n = n + (49 + -42n) Reorder the terms: -37 + 2n = 49 + n + -42n Combine like terms: n + -42n = -41n -37 + 2n = 49 + -41n Solving -37 + 2n = 49 + -41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41n' to each side of the equation. -37 + 2n + 41n = 49 + -41n + 41n Combine like terms: 2n + 41n = 43n -37 + 43n = 49 + -41n + 41n Combine like terms: -41n + 41n = 0 -37 + 43n = 49 + 0 -37 + 43n = 49 Add '37' to each side of the equation. -37 + 37 + 43n = 49 + 37 Combine like terms: -37 + 37 = 0 0 + 43n = 49 + 37 43n = 49 + 37 Combine like terms: 49 + 37 = 86 43n = 86 Divide each side by '43'. n = 2 Simplifying n = 2
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