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Simplifying 3t + 9 = 4t + 7 Reorder the terms: 9 + 3t = 4t + 7 Reorder the terms: 9 + 3t = 7 + 4t Solving 9 + 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. 9 + 3t + -4t = 7 + 4t + -4t Combine like terms: 3t + -4t = -1t 9 + -1t = 7 + 4t + -4t Combine like terms: 4t + -4t = 0 9 + -1t = 7 + 0 9 + -1t = 7 Add '-9' to each side of the equation. 9 + -9 + -1t = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 7 + -9 -1t = 7 + -9 Combine like terms: 7 + -9 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2
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