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Simplifying 12 + -2(9 + -2t) = 2(t + -1) 12 + (9 * -2 + -2t * -2) = 2(t + -1) 12 + (-18 + 4t) = 2(t + -1) Combine like terms: 12 + -18 = -6 -6 + 4t = 2(t + -1) Reorder the terms: -6 + 4t = 2(-1 + t) -6 + 4t = (-1 * 2 + t * 2) -6 + 4t = (-2 + 2t) Solving -6 + 4t = -2 + 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. -6 + 4t + -2t = -2 + 2t + -2t Combine like terms: 4t + -2t = 2t -6 + 2t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 -6 + 2t = -2 + 0 -6 + 2t = -2 Add '6' to each side of the equation. -6 + 6 + 2t = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 2t = -2 + 6 2t = -2 + 6 Combine like terms: -2 + 6 = 4 2t = 4 Divide each side by '2'. t = 2 Simplifying t = 2
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