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Simplifying 4 + 3t + -2 = 8t + 6 + -4t Reorder the terms: 4 + -2 + 3t = 8t + 6 + -4t Combine like terms: 4 + -2 = 2 2 + 3t = 8t + 6 + -4t Reorder the terms: 2 + 3t = 6 + 8t + -4t Combine like terms: 8t + -4t = 4t 2 + 3t = 6 + 4t Solving 2 + 3t = 6 + 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. 2 + 3t + -4t = 6 + 4t + -4t Combine like terms: 3t + -4t = -1t 2 + -1t = 6 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + -1t = 6 + 0 2 + -1t = 6 Add '-2' to each side of the equation. 2 + -2 + -1t = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 6 + -2 -1t = 6 + -2 Combine like terms: 6 + -2 = 4 -1t = 4 Divide each side by '-1'. t = -4 Simplifying t = -4
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