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Simplifying -10t + 25 + 3t = 2t + -9 Reorder the terms: 25 + -10t + 3t = 2t + -9 Combine like terms: -10t + 3t = -7t 25 + -7t = 2t + -9 Reorder the terms: 25 + -7t = -9 + 2t Solving 25 + -7t = -9 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 25 + -7t + -2t = -9 + 2t + -2t Combine like terms: -7t + -2t = -9t 25 + -9t = -9 + 2t + -2t Combine like terms: 2t + -2t = 0 25 + -9t = -9 + 0 25 + -9t = -9 Add '-25' to each side of the equation. 25 + -25 + -9t = -9 + -25 Combine like terms: 25 + -25 = 0 0 + -9t = -9 + -25 -9t = -9 + -25 Combine like terms: -9 + -25 = -34 -9t = -34 Divide each side by '-9'. t = 3.777777778 Simplifying t = 3.777777778
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