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Simplifying 3 + 4t = 7 + -3t Solving 3 + 4t = 7 + -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. 3 + 4t + 3t = 7 + -3t + 3t Combine like terms: 4t + 3t = 7t 3 + 7t = 7 + -3t + 3t Combine like terms: -3t + 3t = 0 3 + 7t = 7 + 0 3 + 7t = 7 Add '-3' to each side of the equation. 3 + -3 + 7t = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 7t = 7 + -3 7t = 7 + -3 Combine like terms: 7 + -3 = 4 7t = 4 Divide each side by '7'. t = 0.5714285714 Simplifying t = 0.5714285714
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