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Simplifying 25 + -1t = 46 + 3t + -3(12 + t) 25 + -1t = 46 + 3t + (12 * -3 + t * -3) 25 + -1t = 46 + 3t + (-36 + -3t) Reorder the terms: 25 + -1t = 46 + -36 + 3t + -3t Combine like terms: 46 + -36 = 10 25 + -1t = 10 + 3t + -3t Combine like terms: 3t + -3t = 0 25 + -1t = 10 + 0 25 + -1t = 10 Solving 25 + -1t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1t = 10 + -25 Combine like terms: 25 + -25 = 0 0 + -1t = 10 + -25 -1t = 10 + -25 Combine like terms: 10 + -25 = -15 -1t = -15 Divide each side by '-1'. t = 15 Simplifying t = 15
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