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Simplifying 4(2t + -3) + 4t = 6 Reorder the terms: 4(-3 + 2t) + 4t = 6 (-3 * 4 + 2t * 4) + 4t = 6 (-12 + 8t) + 4t = 6 Combine like terms: 8t + 4t = 12t -12 + 12t = 6 Solving -12 + 12t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 12t = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 12t = 6 + 12 12t = 6 + 12 Combine like terms: 6 + 12 = 18 12t = 18 Divide each side by '12'. t = 1.5 Simplifying t = 1.5
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