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Simplifying 6(2 + -1t) + -1(3 + -4t) = 2 (2 * 6 + -1t * 6) + -1(3 + -4t) = 2 (12 + -6t) + -1(3 + -4t) = 2 12 + -6t + (3 * -1 + -4t * -1) = 2 12 + -6t + (-3 + 4t) = 2 Reorder the terms: 12 + -3 + -6t + 4t = 2 Combine like terms: 12 + -3 = 9 9 + -6t + 4t = 2 Combine like terms: -6t + 4t = -2t 9 + -2t = 2 Solving 9 + -2t = 2 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 = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -2t = 2 + -9 -2t = 2 + -9 Combine like terms: 2 + -9 = -7 -2t = -7 Divide each side by '-2'. t = 3.5 Simplifying t = 3.5
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