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Simplifying 6(4 + -1t) + -1(3 + -4t) = 12 (4 * 6 + -1t * 6) + -1(3 + -4t) = 12 (24 + -6t) + -1(3 + -4t) = 12 24 + -6t + (3 * -1 + -4t * -1) = 12 24 + -6t + (-3 + 4t) = 12 Reorder the terms: 24 + -3 + -6t + 4t = 12 Combine like terms: 24 + -3 = 21 21 + -6t + 4t = 12 Combine like terms: -6t + 4t = -2t 21 + -2t = 12 Solving 21 + -2t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2t = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -2t = 12 + -21 -2t = 12 + -21 Combine like terms: 12 + -21 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5
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