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Simplifying 6(4 + -1t) + -1(4 + -4t) = 11 (4 * 6 + -1t * 6) + -1(4 + -4t) = 11 (24 + -6t) + -1(4 + -4t) = 11 24 + -6t + (4 * -1 + -4t * -1) = 11 24 + -6t + (-4 + 4t) = 11 Reorder the terms: 24 + -4 + -6t + 4t = 11 Combine like terms: 24 + -4 = 20 20 + -6t + 4t = 11 Combine like terms: -6t + 4t = -2t 20 + -2t = 11 Solving 20 + -2t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -2t = 11 + -20 Combine like terms: 20 + -20 = 0 0 + -2t = 11 + -20 -2t = 11 + -20 Combine like terms: 11 + -20 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5
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