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Simplifying 6(1 + 7n) + -2n = 6 + n (1 * 6 + 7n * 6) + -2n = 6 + n (6 + 42n) + -2n = 6 + n Combine like terms: 42n + -2n = 40n 6 + 40n = 6 + n Add '-6' to each side of the equation. 6 + -6 + 40n = 6 + -6 + n Combine like terms: 6 + -6 = 0 0 + 40n = 6 + -6 + n 40n = 6 + -6 + n Combine like terms: 6 + -6 = 0 40n = 0 + n 40n = n Solving 40n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 40n + -1n = n + -1n Combine like terms: 40n + -1n = 39n 39n = n + -1n Combine like terms: n + -1n = 0 39n = 0 Divide each side by '39'. n = 0 Simplifying n = 0
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