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Simplifying 24t + 27 + -10t = 10t + -29 + 24 Reorder the terms: 27 + 24t + -10t = 10t + -29 + 24 Combine like terms: 24t + -10t = 14t 27 + 14t = 10t + -29 + 24 Reorder the terms: 27 + 14t = -29 + 24 + 10t Combine like terms: -29 + 24 = -5 27 + 14t = -5 + 10t Solving 27 + 14t = -5 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 27 + 14t + -10t = -5 + 10t + -10t Combine like terms: 14t + -10t = 4t 27 + 4t = -5 + 10t + -10t Combine like terms: 10t + -10t = 0 27 + 4t = -5 + 0 27 + 4t = -5 Add '-27' to each side of the equation. 27 + -27 + 4t = -5 + -27 Combine like terms: 27 + -27 = 0 0 + 4t = -5 + -27 4t = -5 + -27 Combine like terms: -5 + -27 = -32 4t = -32 Divide each side by '4'. t = -8 Simplifying t = -8
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