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Simplifying 2(2t + 8) = 2t + 8 Reorder the terms: 2(8 + 2t) = 2t + 8 (8 * 2 + 2t * 2) = 2t + 8 (16 + 4t) = 2t + 8 Reorder the terms: 16 + 4t = 8 + 2t Solving 16 + 4t = 8 + 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. 16 + 4t + -2t = 8 + 2t + -2t Combine like terms: 4t + -2t = 2t 16 + 2t = 8 + 2t + -2t Combine like terms: 2t + -2t = 0 16 + 2t = 8 + 0 16 + 2t = 8 Add '-16' to each side of the equation. 16 + -16 + 2t = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 2t = 8 + -16 2t = 8 + -16 Combine like terms: 8 + -16 = -8 2t = -8 Divide each side by '2'. t = -4 Simplifying t = -4
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