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Simplifying 10t + -29 = 7t + -17 Reorder the terms: -29 + 10t = 7t + -17 Reorder the terms: -29 + 10t = -17 + 7t Solving -29 + 10t = -17 + 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. -29 + 10t + -7t = -17 + 7t + -7t Combine like terms: 10t + -7t = 3t -29 + 3t = -17 + 7t + -7t Combine like terms: 7t + -7t = 0 -29 + 3t = -17 + 0 -29 + 3t = -17 Add '29' to each side of the equation. -29 + 29 + 3t = -17 + 29 Combine like terms: -29 + 29 = 0 0 + 3t = -17 + 29 3t = -17 + 29 Combine like terms: -17 + 29 = 12 3t = 12 Divide each side by '3'. t = 4 Simplifying t = 4
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