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Simplifying 2 + -8t + 2 = -9t + 16 Reorder the terms: 2 + 2 + -8t = -9t + 16 Combine like terms: 2 + 2 = 4 4 + -8t = -9t + 16 Reorder the terms: 4 + -8t = 16 + -9t Solving 4 + -8t = 16 + -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. 4 + -8t + 9t = 16 + -9t + 9t Combine like terms: -8t + 9t = 1t 4 + 1t = 16 + -9t + 9t Combine like terms: -9t + 9t = 0 4 + 1t = 16 + 0 4 + 1t = 16 Add '-4' to each side of the equation. 4 + -4 + 1t = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 1t = 16 + -4 1t = 16 + -4 Combine like terms: 16 + -4 = 12 1t = 12 Divide each side by '1'. t = 12 Simplifying t = 12
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