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Simplifying 4(3 + -1t) + -1(3 + -2t) = 4 (3 * 4 + -1t * 4) + -1(3 + -2t) = 4 (12 + -4t) + -1(3 + -2t) = 4 12 + -4t + (3 * -1 + -2t * -1) = 4 12 + -4t + (-3 + 2t) = 4 Reorder the terms: 12 + -3 + -4t + 2t = 4 Combine like terms: 12 + -3 = 9 9 + -4t + 2t = 4 Combine like terms: -4t + 2t = -2t 9 + -2t = 4 Solving 9 + -2t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2t = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -2t = 4 + -9 -2t = 4 + -9 Combine like terms: 4 + -9 = -5 -2t = -5 Divide each side by '-2'. t = 2.5 Simplifying t = 2.5
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