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Simplifying 3(4t + -8) + 3 = 6 Reorder the terms: 3(-8 + 4t) + 3 = 6 (-8 * 3 + 4t * 3) + 3 = 6 (-24 + 12t) + 3 = 6 Reorder the terms: -24 + 3 + 12t = 6 Combine like terms: -24 + 3 = -21 -21 + 12t = 6 Solving -21 + 12t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 12t = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 12t = 6 + 21 12t = 6 + 21 Combine like terms: 6 + 21 = 27 12t = 27 Divide each side by '12'. t = 2.25 Simplifying t = 2.25
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