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Simplifying 45x + 20(3 + -1t) = 100 45x + (3 * 20 + -1t * 20) = 100 45x + (60 + -20t) = 100 Reorder the terms: 60 + -20t + 45x = 100 Solving 60 + -20t + 45x = 100 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -20t + -60 + 45x = 100 + -60 Reorder the terms: 60 + -60 + -20t + 45x = 100 + -60 Combine like terms: 60 + -60 = 0 0 + -20t + 45x = 100 + -60 -20t + 45x = 100 + -60 Combine like terms: 100 + -60 = 40 -20t + 45x = 40 Add '-45x' to each side of the equation. -20t + 45x + -45x = 40 + -45x Combine like terms: 45x + -45x = 0 -20t + 0 = 40 + -45x -20t = 40 + -45x Divide each side by '-20'. t = -2 + 2.25x Simplifying t = -2 + 2.25x
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