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