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Simplifying 3 + 19t + -2 = 9t + 86 + -71 Reorder the terms: 3 + -2 + 19t = 9t + 86 + -71 Combine like terms: 3 + -2 = 1 1 + 19t = 9t + 86 + -71 Reorder the terms: 1 + 19t = 86 + -71 + 9t Combine like terms: 86 + -71 = 15 1 + 19t = 15 + 9t Solving 1 + 19t = 15 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 1 + 19t + -9t = 15 + 9t + -9t Combine like terms: 19t + -9t = 10t 1 + 10t = 15 + 9t + -9t Combine like terms: 9t + -9t = 0 1 + 10t = 15 + 0 1 + 10t = 15 Add '-1' to each side of the equation. 1 + -1 + 10t = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 10t = 15 + -1 10t = 15 + -1 Combine like terms: 15 + -1 = 14 10t = 14 Divide each side by '10'. t = 1.4 Simplifying t = 1.4
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