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Simplifying 2(2t + -4) = 16 + 2t Reorder the terms: 2(-4 + 2t) = 16 + 2t (-4 * 2 + 2t * 2) = 16 + 2t (-8 + 4t) = 16 + 2t Solving -8 + 4t = 16 + 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 + 4t + -2t = 16 + 2t + -2t Combine like terms: 4t + -2t = 2t -8 + 2t = 16 + 2t + -2t Combine like terms: 2t + -2t = 0 -8 + 2t = 16 + 0 -8 + 2t = 16 Add '8' to each side of the equation. -8 + 8 + 2t = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 2t = 16 + 8 2t = 16 + 8 Combine like terms: 16 + 8 = 24 2t = 24 Divide each side by '2'. t = 12 Simplifying t = 12
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