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Simplifying 4t + 7 = 3t + 1 Reorder the terms: 7 + 4t = 3t + 1 Reorder the terms: 7 + 4t = 1 + 3t Solving 7 + 4t = 1 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 7 + 4t + -3t = 1 + 3t + -3t Combine like terms: 4t + -3t = 1t 7 + 1t = 1 + 3t + -3t Combine like terms: 3t + -3t = 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 = -6 1t = -6 Divide each side by '1'. t = -6 Simplifying t = -6
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