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Simplifying 9 + 19t + -8 = 9t + 86 + -7t Reorder the terms: 9 + -8 + 19t = 9t + 86 + -7t Combine like terms: 9 + -8 = 1 1 + 19t = 9t + 86 + -7t Reorder the terms: 1 + 19t = 86 + 9t + -7t Combine like terms: 9t + -7t = 2t 1 + 19t = 86 + 2t Solving 1 + 19t = 86 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 1 + 19t + -2t = 86 + 2t + -2t Combine like terms: 19t + -2t = 17t 1 + 17t = 86 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 17t = 86 + 0 1 + 17t = 86 Add '-1' to each side of the equation. 1 + -1 + 17t = 86 + -1 Combine like terms: 1 + -1 = 0 0 + 17t = 86 + -1 17t = 86 + -1 Combine like terms: 86 + -1 = 85 17t = 85 Divide each side by '17'. t = 5 Simplifying t = 5
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