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