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Simplifying 6(5 + -1t) + -1(4 + -4t) = 17 (5 * 6 + -1t * 6) + -1(4 + -4t) = 17 (30 + -6t) + -1(4 + -4t) = 17 30 + -6t + (4 * -1 + -4t * -1) = 17 30 + -6t + (-4 + 4t) = 17 Reorder the terms: 30 + -4 + -6t + 4t = 17 Combine like terms: 30 + -4 = 26 26 + -6t + 4t = 17 Combine like terms: -6t + 4t = -2t 26 + -2t = 17 Solving 26 + -2t = 17 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -2t = 17 + -26 Combine like terms: 26 + -26 = 0 0 + -2t = 17 + -26 -2t = 17 + -26 Combine like terms: 17 + -26 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5
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