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Simplifying 10t + 37 + -1(25t + -8t + 13) + 4t = 0 Reorder the terms: 10t + 37 + -1(13 + 25t + -8t) + 4t = 0 Combine like terms: 25t + -8t = 17t 10t + 37 + -1(13 + 17t) + 4t = 0 10t + 37 + (13 * -1 + 17t * -1) + 4t = 0 10t + 37 + (-13 + -17t) + 4t = 0 Reorder the terms: 37 + -13 + 10t + -17t + 4t = 0 Combine like terms: 37 + -13 = 24 24 + 10t + -17t + 4t = 0 Combine like terms: 10t + -17t = -7t 24 + -7t + 4t = 0 Combine like terms: -7t + 4t = -3t 24 + -3t = 0 Solving 24 + -3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -3t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -3t = 0 + -24 -3t = 0 + -24 Combine like terms: 0 + -24 = -24 -3t = -24 Divide each side by '-3'. t = 8 Simplifying t = 8
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