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Simplifying -2(t + 7) = 4(1 + -2t) Reorder the terms: -2(7 + t) = 4(1 + -2t) (7 * -2 + t * -2) = 4(1 + -2t) (-14 + -2t) = 4(1 + -2t) -14 + -2t = (1 * 4 + -2t * 4) -14 + -2t = (4 + -8t) Solving -14 + -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. -14 + -2t + 8t = 4 + -8t + 8t Combine like terms: -2t + 8t = 6t -14 + 6t = 4 + -8t + 8t Combine like terms: -8t + 8t = 0 -14 + 6t = 4 + 0 -14 + 6t = 4 Add '14' to each side of the equation. -14 + 14 + 6t = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6t = 4 + 14 6t = 4 + 14 Combine like terms: 4 + 14 = 18 6t = 18 Divide each side by '6'. t = 3 Simplifying t = 3
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