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Simplifying 8 + 7t = 4t + 2 Reorder the terms: 8 + 7t = 2 + 4t Solving 8 + 7t = 2 + 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. 8 + 7t + -4t = 2 + 4t + -4t Combine like terms: 7t + -4t = 3t 8 + 3t = 2 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + 3t = 2 + 0 8 + 3t = 2 Add '-8' to each side of the equation. 8 + -8 + 3t = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 3t = 2 + -8 3t = 2 + -8 Combine like terms: 2 + -8 = -6 3t = -6 Divide each side by '3'. t = -2 Simplifying t = -2
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