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Simplifying 12t + -24 + 5t = 48 + -1t Reorder the terms: -24 + 12t + 5t = 48 + -1t Combine like terms: 12t + 5t = 17t -24 + 17t = 48 + -1t Solving -24 + 17t = 48 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -24 + 17t + t = 48 + -1t + t Combine like terms: 17t + t = 18t -24 + 18t = 48 + -1t + t Combine like terms: -1t + t = 0 -24 + 18t = 48 + 0 -24 + 18t = 48 Add '24' to each side of the equation. -24 + 24 + 18t = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 18t = 48 + 24 18t = 48 + 24 Combine like terms: 48 + 24 = 72 18t = 72 Divide each side by '18'. t = 4 Simplifying t = 4
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