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Simplifying 6t + 15 + 12 = 24t + -60 Reorder the terms: 15 + 12 + 6t = 24t + -60 Combine like terms: 15 + 12 = 27 27 + 6t = 24t + -60 Reorder the terms: 27 + 6t = -60 + 24t Solving 27 + 6t = -60 + 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. 27 + 6t + -24t = -60 + 24t + -24t Combine like terms: 6t + -24t = -18t 27 + -18t = -60 + 24t + -24t Combine like terms: 24t + -24t = 0 27 + -18t = -60 + 0 27 + -18t = -60 Add '-27' to each side of the equation. 27 + -27 + -18t = -60 + -27 Combine like terms: 27 + -27 = 0 0 + -18t = -60 + -27 -18t = -60 + -27 Combine like terms: -60 + -27 = -87 -18t = -87 Divide each side by '-18'. t = 4.833333333 Simplifying t = 4.833333333
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