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Simplifying 9 + 7t + -8 = 7t + 16 + -3t Reorder the terms: 9 + -8 + 7t = 7t + 16 + -3t Combine like terms: 9 + -8 = 1 1 + 7t = 7t + 16 + -3t Reorder the terms: 1 + 7t = 16 + 7t + -3t Combine like terms: 7t + -3t = 4t 1 + 7t = 16 + 4t Solving 1 + 7t = 16 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 1 + 7t + -4t = 16 + 4t + -4t Combine like terms: 7t + -4t = 3t 1 + 3t = 16 + 4t + -4t Combine like terms: 4t + -4t = 0 1 + 3t = 16 + 0 1 + 3t = 16 Add '-1' to each side of the equation. 1 + -1 + 3t = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 3t = 16 + -1 3t = 16 + -1 Combine like terms: 16 + -1 = 15 3t = 15 Divide each side by '3'. t = 5 Simplifying t = 5
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