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Simplifying 7 + 19t + -4 = 8t + 37 + -6t Reorder the terms: 7 + -4 + 19t = 8t + 37 + -6t Combine like terms: 7 + -4 = 3 3 + 19t = 8t + 37 + -6t Reorder the terms: 3 + 19t = 37 + 8t + -6t Combine like terms: 8t + -6t = 2t 3 + 19t = 37 + 2t Solving 3 + 19t = 37 + 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. 3 + 19t + -2t = 37 + 2t + -2t Combine like terms: 19t + -2t = 17t 3 + 17t = 37 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 17t = 37 + 0 3 + 17t = 37 Add '-3' to each side of the equation. 3 + -3 + 17t = 37 + -3 Combine like terms: 3 + -3 = 0 0 + 17t = 37 + -3 17t = 37 + -3 Combine like terms: 37 + -3 = 34 17t = 34 Divide each side by '17'. t = 2 Simplifying t = 2
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