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Simplifying 3t + 7 = 5t + 9 Reorder the terms: 7 + 3t = 5t + 9 Reorder the terms: 7 + 3t = 9 + 5t Solving 7 + 3t = 9 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 7 + 3t + -5t = 9 + 5t + -5t Combine like terms: 3t + -5t = -2t 7 + -2t = 9 + 5t + -5t Combine like terms: 5t + -5t = 0 7 + -2t = 9 + 0 7 + -2t = 9 Add '-7' to each side of the equation. 7 + -7 + -2t = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -2t = 9 + -7 -2t = 9 + -7 Combine like terms: 9 + -7 = 2 -2t = 2 Divide each side by '-2'. t = -1 Simplifying t = -1
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