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Simplifying -7(1 + -6n) = 33 + 2n (1 * -7 + -6n * -7) = 33 + 2n (-7 + 42n) = 33 + 2n Solving -7 + 42n = 33 + 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. -7 + 42n + -2n = 33 + 2n + -2n Combine like terms: 42n + -2n = 40n -7 + 40n = 33 + 2n + -2n Combine like terms: 2n + -2n = 0 -7 + 40n = 33 + 0 -7 + 40n = 33 Add '7' to each side of the equation. -7 + 7 + 40n = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 40n = 33 + 7 40n = 33 + 7 Combine like terms: 33 + 7 = 40 40n = 40 Divide each side by '40'. n = 1 Simplifying n = 1
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