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