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