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Simplifying -2(t + 1) = 4(1 + -2t) Reorder the terms: -2(1 + t) = 4(1 + -2t) (1 * -2 + t * -2) = 4(1 + -2t) (-2 + -2t) = 4(1 + -2t) -2 + -2t = (1 * 4 + -2t * 4) -2 + -2t = (4 + -8t) Solving -2 + -2t = 4 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. -2 + -2t + 8t = 4 + -8t + 8t Combine like terms: -2t + 8t = 6t -2 + 6t = 4 + -8t + 8t Combine like terms: -8t + 8t = 0 -2 + 6t = 4 + 0 -2 + 6t = 4 Add '2' to each side of the equation. -2 + 2 + 6t = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 6t = 4 + 2 6t = 4 + 2 Combine like terms: 4 + 2 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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