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Simplifying 3n + -7(6n + 8) = 26 + 2n Reorder the terms: 3n + -7(8 + 6n) = 26 + 2n 3n + (8 * -7 + 6n * -7) = 26 + 2n 3n + (-56 + -42n) = 26 + 2n Reorder the terms: -56 + 3n + -42n = 26 + 2n Combine like terms: 3n + -42n = -39n -56 + -39n = 26 + 2n Solving -56 + -39n = 26 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -56 + -39n + -2n = 26 + 2n + -2n Combine like terms: -39n + -2n = -41n -56 + -41n = 26 + 2n + -2n Combine like terms: 2n + -2n = 0 -56 + -41n = 26 + 0 -56 + -41n = 26 Add '56' to each side of the equation. -56 + 56 + -41n = 26 + 56 Combine like terms: -56 + 56 = 0 0 + -41n = 26 + 56 -41n = 26 + 56 Combine like terms: 26 + 56 = 82 -41n = 82 Divide each side by '-41'. n = -2 Simplifying n = -2
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