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Simplifying 6(3 + -1t) + -1(4 + -4t) = 11 (3 * 6 + -1t * 6) + -1(4 + -4t) = 11 (18 + -6t) + -1(4 + -4t) = 11 18 + -6t + (4 * -1 + -4t * -1) = 11 18 + -6t + (-4 + 4t) = 11 Reorder the terms: 18 + -4 + -6t + 4t = 11 Combine like terms: 18 + -4 = 14 14 + -6t + 4t = 11 Combine like terms: -6t + 4t = -2t 14 + -2t = 11 Solving 14 + -2t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2t = 11 + -14 Combine like terms: 14 + -14 = 0 0 + -2t = 11 + -14 -2t = 11 + -14 Combine like terms: 11 + -14 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5
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