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Simplifying 14 + -2(9 + -2t) = 2(t + -1) 14 + (9 * -2 + -2t * -2) = 2(t + -1) 14 + (-18 + 4t) = 2(t + -1) Combine like terms: 14 + -18 = -4 -4 + 4t = 2(t + -1) Reorder the terms: -4 + 4t = 2(-1 + t) -4 + 4t = (-1 * 2 + t * 2) -4 + 4t = (-2 + 2t) Solving -4 + 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. -4 + 4t + -2t = -2 + 2t + -2t Combine like terms: 4t + -2t = 2t -4 + 2t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 -4 + 2t = -2 + 0 -4 + 2t = -2 Add '4' to each side of the equation. -4 + 4 + 2t = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 2t = -2 + 4 2t = -2 + 4 Combine like terms: -2 + 4 = 2 2t = 2 Divide each side by '2'. t = 1 Simplifying t = 1
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