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Simplifying 4(2 + -1t) + -1(3 + -2t) = 2 (2 * 4 + -1t * 4) + -1(3 + -2t) = 2 (8 + -4t) + -1(3 + -2t) = 2 8 + -4t + (3 * -1 + -2t * -1) = 2 8 + -4t + (-3 + 2t) = 2 Reorder the terms: 8 + -3 + -4t + 2t = 2 Combine like terms: 8 + -3 = 5 5 + -4t + 2t = 2 Combine like terms: -4t + 2t = -2t 5 + -2t = 2 Solving 5 + -2t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2t = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = 2 + -5 -2t = 2 + -5 Combine like terms: 2 + -5 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5
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