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Simplifying 2(8t * 9) + 4(10 + -16t) = 20 Reorder the terms for easier multiplication: 2(8 * 9t) + 4(10 + -16t) = 20 Multiply 8 * 9 2(72t) + 4(10 + -16t) = 20 Remove parenthesis around (72t) 2 * 72t + 4(10 + -16t) = 20 Multiply 2 * 72 144t + 4(10 + -16t) = 20 144t + (10 * 4 + -16t * 4) = 20 144t + (40 + -64t) = 20 Reorder the terms: 40 + 144t + -64t = 20 Combine like terms: 144t + -64t = 80t 40 + 80t = 20 Solving 40 + 80t = 20 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 80t = 20 + -40 Combine like terms: 40 + -40 = 0 0 + 80t = 20 + -40 80t = 20 + -40 Combine like terms: 20 + -40 = -20 80t = -20 Divide each side by '80'. t = -0.25 Simplifying t = -0.25
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