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Simplifying 3(7t + 2) = -1(-10 + 9t) Reorder the terms: 3(2 + 7t) = -1(-10 + 9t) (2 * 3 + 7t * 3) = -1(-10 + 9t) (6 + 21t) = -1(-10 + 9t) 6 + 21t = (-10 * -1 + 9t * -1) 6 + 21t = (10 + -9t) Solving 6 + 21t = 10 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. 6 + 21t + 9t = 10 + -9t + 9t Combine like terms: 21t + 9t = 30t 6 + 30t = 10 + -9t + 9t Combine like terms: -9t + 9t = 0 6 + 30t = 10 + 0 6 + 30t = 10 Add '-6' to each side of the equation. 6 + -6 + 30t = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 30t = 10 + -6 30t = 10 + -6 Combine like terms: 10 + -6 = 4 30t = 4 Divide each side by '30'. t = 0.1333333333 Simplifying t = 0.1333333333
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