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Simplifying 2 + -1(4t + -2) = 16 + -2t Reorder the terms: 2 + -1(-2 + 4t) = 16 + -2t 2 + (-2 * -1 + 4t * -1) = 16 + -2t 2 + (2 + -4t) = 16 + -2t Combine like terms: 2 + 2 = 4 4 + -4t = 16 + -2t Solving 4 + -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. 4 + -4t + 2t = 16 + -2t + 2t Combine like terms: -4t + 2t = -2t 4 + -2t = 16 + -2t + 2t Combine like terms: -2t + 2t = 0 4 + -2t = 16 + 0 4 + -2t = 16 Add '-4' to each side of the equation. 4 + -4 + -2t = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -2t = 16 + -4 -2t = 16 + -4 Combine like terms: 16 + -4 = 12 -2t = 12 Divide each side by '-2'. t = -6 Simplifying t = -6
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