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Simplifying 7 + 3t + -1 = 8t + 7 + -4t Reorder the terms: 7 + -1 + 3t = 8t + 7 + -4t Combine like terms: 7 + -1 = 6 6 + 3t = 8t + 7 + -4t Reorder the terms: 6 + 3t = 7 + 8t + -4t Combine like terms: 8t + -4t = 4t 6 + 3t = 7 + 4t Solving 6 + 3t = 7 + 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. 6 + 3t + -4t = 7 + 4t + -4t Combine like terms: 3t + -4t = -1t 6 + -1t = 7 + 4t + -4t Combine like terms: 4t + -4t = 0 6 + -1t = 7 + 0 6 + -1t = 7 Add '-6' to each side of the equation. 6 + -6 + -1t = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 7 + -6 -1t = 7 + -6 Combine like terms: 7 + -6 = 1 -1t = 1 Divide each side by '-1'. t = -1 Simplifying t = -1
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