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Simplifying 5 + 3t + -4 = 9t + 25 + -2t Reorder the terms: 5 + -4 + 3t = 9t + 25 + -2t Combine like terms: 5 + -4 = 1 1 + 3t = 9t + 25 + -2t Reorder the terms: 1 + 3t = 25 + 9t + -2t Combine like terms: 9t + -2t = 7t 1 + 3t = 25 + 7t Solving 1 + 3t = 25 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 1 + 3t + -7t = 25 + 7t + -7t Combine like terms: 3t + -7t = -4t 1 + -4t = 25 + 7t + -7t Combine like terms: 7t + -7t = 0 1 + -4t = 25 + 0 1 + -4t = 25 Add '-1' to each side of the equation. 1 + -1 + -4t = 25 + -1 Combine like terms: 1 + -1 = 0 0 + -4t = 25 + -1 -4t = 25 + -1 Combine like terms: 25 + -1 = 24 -4t = 24 Divide each side by '-4'. t = -6 Simplifying t = -6
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