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Simplifying 1 = 2t + -4(-4t + 2) Reorder the terms: 1 = 2t + -4(2 + -4t) 1 = 2t + (2 * -4 + -4t * -4) 1 = 2t + (-8 + 16t) Reorder the terms: 1 = -8 + 2t + 16t Combine like terms: 2t + 16t = 18t 1 = -8 + 18t Solving 1 = -8 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. 1 + -18t = -8 + 18t + -18t Combine like terms: 18t + -18t = 0 1 + -18t = -8 + 0 1 + -18t = -8 Add '-1' to each side of the equation. 1 + -1 + -18t = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -18t = -8 + -1 -18t = -8 + -1 Combine like terms: -8 + -1 = -9 -18t = -9 Divide each side by '-18'. t = 0.5 Simplifying t = 0.5
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