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Simplifying 2(2t + 4) + -8t = 12 Reorder the terms: 2(4 + 2t) + -8t = 12 (4 * 2 + 2t * 2) + -8t = 12 (8 + 4t) + -8t = 12 Combine like terms: 4t + -8t = -4t 8 + -4t = 12 Solving 8 + -4t = 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 + -4t = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = 12 + -8 -4t = 12 + -8 Combine like terms: 12 + -8 = 4 -4t = 4 Divide each side by '-4'. t = -1 Simplifying t = -1
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