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Simplifying 313 = -7(1 + -6n) + -2n 313 = (1 * -7 + -6n * -7) + -2n 313 = (-7 + 42n) + -2n Combine like terms: 42n + -2n = 40n 313 = -7 + 40n Solving 313 = -7 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 313 + -40n = -7 + 40n + -40n Combine like terms: 40n + -40n = 0 313 + -40n = -7 + 0 313 + -40n = -7 Add '-313' to each side of the equation. 313 + -313 + -40n = -7 + -313 Combine like terms: 313 + -313 = 0 0 + -40n = -7 + -313 -40n = -7 + -313 Combine like terms: -7 + -313 = -320 -40n = -320 Divide each side by '-40'. n = 8 Simplifying n = 8
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