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Simplifying 6(4 + -1t) + -1(2 + -4t) = 19 (4 * 6 + -1t * 6) + -1(2 + -4t) = 19 (24 + -6t) + -1(2 + -4t) = 19 24 + -6t + (2 * -1 + -4t * -1) = 19 24 + -6t + (-2 + 4t) = 19 Reorder the terms: 24 + -2 + -6t + 4t = 19 Combine like terms: 24 + -2 = 22 22 + -6t + 4t = 19 Combine like terms: -6t + 4t = -2t 22 + -2t = 19 Solving 22 + -2t = 19 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -2t = 19 + -22 Combine like terms: 22 + -22 = 0 0 + -2t = 19 + -22 -2t = 19 + -22 Combine like terms: 19 + -22 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5
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