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Simplifying 3(8 + -3t) = 5(-2 + t) (8 * 3 + -3t * 3) = 5(-2 + t) (24 + -9t) = 5(-2 + t) 24 + -9t = (-2 * 5 + t * 5) 24 + -9t = (-10 + 5t) Solving 24 + -9t = -10 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 24 + -9t + -5t = -10 + 5t + -5t Combine like terms: -9t + -5t = -14t 24 + -14t = -10 + 5t + -5t Combine like terms: 5t + -5t = 0 24 + -14t = -10 + 0 24 + -14t = -10 Add '-24' to each side of the equation. 24 + -24 + -14t = -10 + -24 Combine like terms: 24 + -24 = 0 0 + -14t = -10 + -24 -14t = -10 + -24 Combine like terms: -10 + -24 = -34 -14t = -34 Divide each side by '-14'. t = 2.428571429 Simplifying t = 2.428571429
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