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Simplifying 4(2 + -1t) + -1(2 + -2t) = 3 (2 * 4 + -1t * 4) + -1(2 + -2t) = 3 (8 + -4t) + -1(2 + -2t) = 3 8 + -4t + (2 * -1 + -2t * -1) = 3 8 + -4t + (-2 + 2t) = 3 Reorder the terms: 8 + -2 + -4t + 2t = 3 Combine like terms: 8 + -2 = 6 6 + -4t + 2t = 3 Combine like terms: -4t + 2t = -2t 6 + -2t = 3 Solving 6 + -2t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2t = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -2t = 3 + -6 -2t = 3 + -6 Combine like terms: 3 + -6 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5
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