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Simplifying 4(3t + -2) + -2t = 12 Reorder the terms: 4(-2 + 3t) + -2t = 12 (-2 * 4 + 3t * 4) + -2t = 12 (-8 + 12t) + -2t = 12 Combine like terms: 12t + -2t = 10t -8 + 10t = 12 Solving -8 + 10t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 10t = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10t = 12 + 8 10t = 12 + 8 Combine like terms: 12 + 8 = 20 10t = 20 Divide each side by '10'. t = 2 Simplifying t = 2
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