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Simplifying 8 + -2(5 + -2t) = 2(t + -1) 8 + (5 * -2 + -2t * -2) = 2(t + -1) 8 + (-10 + 4t) = 2(t + -1) Combine like terms: 8 + -10 = -2 -2 + 4t = 2(t + -1) Reorder the terms: -2 + 4t = 2(-1 + t) -2 + 4t = (-1 * 2 + t * 2) -2 + 4t = (-2 + 2t) Add '2' to each side of the equation. -2 + 2 + 4t = -2 + 2 + 2t Combine like terms: -2 + 2 = 0 0 + 4t = -2 + 2 + 2t 4t = -2 + 2 + 2t Combine like terms: -2 + 2 = 0 4t = 0 + 2t 4t = 2t Solving 4t = 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. 4t + -2t = 2t + -2t Combine like terms: 4t + -2t = 2t 2t = 2t + -2t Combine like terms: 2t + -2t = 0 2t = 0 Divide each side by '2'. t = 0 Simplifying t = 0
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