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Simplifying 100 = 1000 + -10t + -16t Combine like terms: -10t + -16t = -26t 100 = 1000 + -26t Solving 100 = 1000 + -26t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '26t' to each side of the equation. 100 + 26t = 1000 + -26t + 26t Combine like terms: -26t + 26t = 0 100 + 26t = 1000 + 0 100 + 26t = 1000 Add '-100' to each side of the equation. 100 + -100 + 26t = 1000 + -100 Combine like terms: 100 + -100 = 0 0 + 26t = 1000 + -100 26t = 1000 + -100 Combine like terms: 1000 + -100 = 900 26t = 900 Divide each side by '26'. t = 34.61538462 Simplifying t = 34.61538462
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