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Simplifying 3t + 8 = -10 + -7t + -2t Reorder the terms: 8 + 3t = -10 + -7t + -2t Combine like terms: -7t + -2t = -9t 8 + 3t = -10 + -9t Solving 8 + 3t = -10 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. 8 + 3t + 9t = -10 + -9t + 9t Combine like terms: 3t + 9t = 12t 8 + 12t = -10 + -9t + 9t Combine like terms: -9t + 9t = 0 8 + 12t = -10 + 0 8 + 12t = -10 Add '-8' to each side of the equation. 8 + -8 + 12t = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 12t = -10 + -8 12t = -10 + -8 Combine like terms: -10 + -8 = -18 12t = -18 Divide each side by '12'. t = -1.5 Simplifying t = -1.5
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