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Simplifying 4(3 + -1t) + -1(2 + -2t) = 3 (3 * 4 + -1t * 4) + -1(2 + -2t) = 3 (12 + -4t) + -1(2 + -2t) = 3 12 + -4t + (2 * -1 + -2t * -1) = 3 12 + -4t + (-2 + 2t) = 3 Reorder the terms: 12 + -2 + -4t + 2t = 3 Combine like terms: 12 + -2 = 10 10 + -4t + 2t = 3 Combine like terms: -4t + 2t = -2t 10 + -2t = 3 Solving 10 + -2t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2t = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -2t = 3 + -10 -2t = 3 + -10 Combine like terms: 3 + -10 = -7 -2t = -7 Divide each side by '-2'. t = 3.5 Simplifying t = 3.5
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