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Simplifying 5t + 7 = 4t + 9 Reorder the terms: 7 + 5t = 4t + 9 Reorder the terms: 7 + 5t = 9 + 4t Solving 7 + 5t = 9 + 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 + 5t + -4t = 9 + 4t + -4t Combine like terms: 5t + -4t = 1t 7 + 1t = 9 + 4t + -4t Combine like terms: 4t + -4t = 0 7 + 1t = 9 + 0 7 + 1t = 9 Add '-7' to each side of the equation. 7 + -7 + 1t = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 1t = 9 + -7 1t = 9 + -7 Combine like terms: 9 + -7 = 2 1t = 2 Divide each side by '1'. t = 2 Simplifying t = 2
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