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Simplifying 6(2 + -1t) + -1(4 + -4t) = 1 (2 * 6 + -1t * 6) + -1(4 + -4t) = 1 (12 + -6t) + -1(4 + -4t) = 1 12 + -6t + (4 * -1 + -4t * -1) = 1 12 + -6t + (-4 + 4t) = 1 Reorder the terms: 12 + -4 + -6t + 4t = 1 Combine like terms: 12 + -4 = 8 8 + -6t + 4t = 1 Combine like terms: -6t + 4t = -2t 8 + -2t = 1 Solving 8 + -2t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2t = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = 1 + -8 -2t = 1 + -8 Combine like terms: 1 + -8 = -7 -2t = -7 Divide each side by '-2'. t = 3.5 Simplifying t = 3.5
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