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Simplifying 6 + 3t + -5 = 8t + 1 + -4t Reorder the terms: 6 + -5 + 3t = 8t + 1 + -4t Combine like terms: 6 + -5 = 1 1 + 3t = 8t + 1 + -4t Reorder the terms: 1 + 3t = 1 + 8t + -4t Combine like terms: 8t + -4t = 4t 1 + 3t = 1 + 4t Add '-1' to each side of the equation. 1 + -1 + 3t = 1 + -1 + 4t Combine like terms: 1 + -1 = 0 0 + 3t = 1 + -1 + 4t 3t = 1 + -1 + 4t Combine like terms: 1 + -1 = 0 3t = 0 + 4t 3t = 4t Solving 3t = 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. 3t + -4t = 4t + -4t Combine like terms: 3t + -4t = -1t -1t = 4t + -4t Combine like terms: 4t + -4t = 0 -1t = 0 Divide each side by '-1'. t = 0 Simplifying t = 0
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