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Simplifying -2(t + -6) + 4t + -8 = 20 Reorder the terms: -2(-6 + t) + 4t + -8 = 20 (-6 * -2 + t * -2) + 4t + -8 = 20 (12 + -2t) + 4t + -8 = 20 Reorder the terms: 12 + -8 + -2t + 4t = 20 Combine like terms: 12 + -8 = 4 4 + -2t + 4t = 20 Combine like terms: -2t + 4t = 2t 4 + 2t = 20 Solving 4 + 2t = 20 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2t = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 2t = 20 + -4 2t = 20 + -4 Combine like terms: 20 + -4 = 16 2t = 16 Divide each side by '2'. t = 8 Simplifying t = 8
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