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Simplifying 3(2t + -4) = 20 + -2t Reorder the terms: 3(-4 + 2t) = 20 + -2t (-4 * 3 + 2t * 3) = 20 + -2t (-12 + 6t) = 20 + -2t Solving -12 + 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. -12 + 6t + 2t = 20 + -2t + 2t Combine like terms: 6t + 2t = 8t -12 + 8t = 20 + -2t + 2t Combine like terms: -2t + 2t = 0 -12 + 8t = 20 + 0 -12 + 8t = 20 Add '12' to each side of the equation. -12 + 12 + 8t = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 8t = 20 + 12 8t = 20 + 12 Combine like terms: 20 + 12 = 32 8t = 32 Divide each side by '8'. t = 4 Simplifying t = 4
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