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Simplifying 7 + 19t + -2 = 9t + 107 + -7t Reorder the terms: 7 + -2 + 19t = 9t + 107 + -7t Combine like terms: 7 + -2 = 5 5 + 19t = 9t + 107 + -7t Reorder the terms: 5 + 19t = 107 + 9t + -7t Combine like terms: 9t + -7t = 2t 5 + 19t = 107 + 2t Solving 5 + 19t = 107 + 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. 5 + 19t + -2t = 107 + 2t + -2t Combine like terms: 19t + -2t = 17t 5 + 17t = 107 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + 17t = 107 + 0 5 + 17t = 107 Add '-5' to each side of the equation. 5 + -5 + 17t = 107 + -5 Combine like terms: 5 + -5 = 0 0 + 17t = 107 + -5 17t = 107 + -5 Combine like terms: 107 + -5 = 102 17t = 102 Divide each side by '17'. t = 6 Simplifying t = 6
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