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Simplifying 2(3t + -4) = 20 + -2t Reorder the terms: 2(-4 + 3t) = 20 + -2t (-4 * 2 + 3t * 2) = 20 + -2t (-8 + 6t) = 20 + -2t Solving -8 + 6t = 20 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -8 + 6t + 2t = 20 + -2t + 2t Combine like terms: 6t + 2t = 8t -8 + 8t = 20 + -2t + 2t Combine like terms: -2t + 2t = 0 -8 + 8t = 20 + 0 -8 + 8t = 20 Add '8' to each side of the equation. -8 + 8 + 8t = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 8t = 20 + 8 8t = 20 + 8 Combine like terms: 20 + 8 = 28 8t = 28 Divide each side by '8'. t = 3.5 Simplifying t = 3.5
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