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Simplifying 3t + -6 + 12t = 12 + 24t + -3 Reorder the terms: -6 + 3t + 12t = 12 + 24t + -3 Combine like terms: 3t + 12t = 15t -6 + 15t = 12 + 24t + -3 Reorder the terms: -6 + 15t = 12 + -3 + 24t Combine like terms: 12 + -3 = 9 -6 + 15t = 9 + 24t Solving -6 + 15t = 9 + 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. -6 + 15t + -24t = 9 + 24t + -24t Combine like terms: 15t + -24t = -9t -6 + -9t = 9 + 24t + -24t Combine like terms: 24t + -24t = 0 -6 + -9t = 9 + 0 -6 + -9t = 9 Add '6' to each side of the equation. -6 + 6 + -9t = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -9t = 9 + 6 -9t = 9 + 6 Combine like terms: 9 + 6 = 15 -9t = 15 Divide each side by '-9'. t = -1.666666667 Simplifying t = -1.666666667
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