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Simplifying 3 + 6t + -1 = 9t + 8 + -2t Reorder the terms: 3 + -1 + 6t = 9t + 8 + -2t Combine like terms: 3 + -1 = 2 2 + 6t = 9t + 8 + -2t Reorder the terms: 2 + 6t = 8 + 9t + -2t Combine like terms: 9t + -2t = 7t 2 + 6t = 8 + 7t Solving 2 + 6t = 8 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 2 + 6t + -7t = 8 + 7t + -7t Combine like terms: 6t + -7t = -1t 2 + -1t = 8 + 7t + -7t Combine like terms: 7t + -7t = 0 2 + -1t = 8 + 0 2 + -1t = 8 Add '-2' to each side of the equation. 2 + -2 + -1t = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 8 + -2 -1t = 8 + -2 Combine like terms: 8 + -2 = 6 -1t = 6 Divide each side by '-1'. t = -6 Simplifying t = -6
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