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Simplifying 8 + 19t + -2 = 9t + 57 + -7t Reorder the terms: 8 + -2 + 19t = 9t + 57 + -7t Combine like terms: 8 + -2 = 6 6 + 19t = 9t + 57 + -7t Reorder the terms: 6 + 19t = 57 + 9t + -7t Combine like terms: 9t + -7t = 2t 6 + 19t = 57 + 2t Solving 6 + 19t = 57 + 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. 6 + 19t + -2t = 57 + 2t + -2t Combine like terms: 19t + -2t = 17t 6 + 17t = 57 + 2t + -2t Combine like terms: 2t + -2t = 0 6 + 17t = 57 + 0 6 + 17t = 57 Add '-6' to each side of the equation. 6 + -6 + 17t = 57 + -6 Combine like terms: 6 + -6 = 0 0 + 17t = 57 + -6 17t = 57 + -6 Combine like terms: 57 + -6 = 51 17t = 51 Divide each side by '17'. t = 3 Simplifying t = 3
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