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Simplifying 2(t + -4) = 16 + -2t Reorder the terms: 2(-4 + t) = 16 + -2t (-4 * 2 + t * 2) = 16 + -2t (-8 + 2t) = 16 + -2t Solving -8 + 2t = 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 + 2t + 2t = 16 + -2t + 2t Combine like terms: 2t + 2t = 4t -8 + 4t = 16 + -2t + 2t Combine like terms: -2t + 2t = 0 -8 + 4t = 16 + 0 -8 + 4t = 16 Add '8' to each side of the equation. -8 + 8 + 4t = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 4t = 16 + 8 4t = 16 + 8 Combine like terms: 16 + 8 = 24 4t = 24 Divide each side by '4'. t = 6 Simplifying t = 6
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