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Simplifying 3t + -6 = 78 + -9t Reorder the terms: -6 + 3t = 78 + -9t Solving -6 + 3t = 78 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. -6 + 3t + 9t = 78 + -9t + 9t Combine like terms: 3t + 9t = 12t -6 + 12t = 78 + -9t + 9t Combine like terms: -9t + 9t = 0 -6 + 12t = 78 + 0 -6 + 12t = 78 Add '6' to each side of the equation. -6 + 6 + 12t = 78 + 6 Combine like terms: -6 + 6 = 0 0 + 12t = 78 + 6 12t = 78 + 6 Combine like terms: 78 + 6 = 84 12t = 84 Divide each side by '12'. t = 7 Simplifying t = 7
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