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Simplifying 9 + 3t + -5 = 8t + 12 + -4t Reorder the terms: 9 + -5 + 3t = 8t + 12 + -4t Combine like terms: 9 + -5 = 4 4 + 3t = 8t + 12 + -4t Reorder the terms: 4 + 3t = 12 + 8t + -4t Combine like terms: 8t + -4t = 4t 4 + 3t = 12 + 4t Solving 4 + 3t = 12 + 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. 4 + 3t + -4t = 12 + 4t + -4t Combine like terms: 3t + -4t = -1t 4 + -1t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 4 + -1t = 12 + 0 4 + -1t = 12 Add '-4' to each side of the equation. 4 + -4 + -1t = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 12 + -4 -1t = 12 + -4 Combine like terms: 12 + -4 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8
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