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Simplifying 3(8 + -3t) = 5(-2v + -2) (8 * 3 + -3t * 3) = 5(-2v + -2) (24 + -9t) = 5(-2v + -2) Reorder the terms: 24 + -9t = 5(-2 + -2v) 24 + -9t = (-2 * 5 + -2v * 5) 24 + -9t = (-10 + -10v) Solving 24 + -9t = -10 + -10v Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -9t = -10 + -24 + -10v Combine like terms: 24 + -24 = 0 0 + -9t = -10 + -24 + -10v -9t = -10 + -24 + -10v Combine like terms: -10 + -24 = -34 -9t = -34 + -10v Divide each side by '-9'. t = 3.777777778 + 1.111111111v Simplifying t = 3.777777778 + 1.111111111v
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