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Simplifying 3n + -1t = -8 + -8[6 + 5n] 3n + -1t = -8 + [6 * -8 + 5n * -8] 3n + -1t = -8 + [-48 + -40n] Combine like terms: -8 + -48 = -56 3n + -1t = -56 + -40n Solving 3n + -1t = -56 + -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. 3n + 40n + -1t = -56 + -40n + 40n Combine like terms: 3n + 40n = 43n 43n + -1t = -56 + -40n + 40n Combine like terms: -40n + 40n = 0 43n + -1t = -56 + 0 43n + -1t = -56 Add 't' to each side of the equation. 43n + -1t + t = -56 + t Combine like terms: -1t + t = 0 43n + 0 = -56 + t 43n = -56 + t Divide each side by '43'. n = -1.302325581 + 0.02325581395t Simplifying n = -1.302325581 + 0.02325581395t
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