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Simplifying 3t + 6 + 4t = 9t + -2 + -1t Reorder the terms: 6 + 3t + 4t = 9t + -2 + -1t Combine like terms: 3t + 4t = 7t 6 + 7t = 9t + -2 + -1t Reorder the terms: 6 + 7t = -2 + 9t + -1t Combine like terms: 9t + -1t = 8t 6 + 7t = -2 + 8t Solving 6 + 7t = -2 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 6 + 7t + -8t = -2 + 8t + -8t Combine like terms: 7t + -8t = -1t 6 + -1t = -2 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -1t = -2 + 0 6 + -1t = -2 Add '-6' to each side of the equation. 6 + -6 + -1t = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = -2 + -6 -1t = -2 + -6 Combine like terms: -2 + -6 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8
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