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Simplifying 4(5 + -1t) + -1(2 + -2t) = 9 (5 * 4 + -1t * 4) + -1(2 + -2t) = 9 (20 + -4t) + -1(2 + -2t) = 9 20 + -4t + (2 * -1 + -2t * -1) = 9 20 + -4t + (-2 + 2t) = 9 Reorder the terms: 20 + -2 + -4t + 2t = 9 Combine like terms: 20 + -2 = 18 18 + -4t + 2t = 9 Combine like terms: -4t + 2t = -2t 18 + -2t = 9 Solving 18 + -2t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -2t = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -2t = 9 + -18 -2t = 9 + -18 Combine like terms: 9 + -18 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5
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