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Simplifying 3(8 + -3t) = 5(2 + -1t) (8 * 3 + -3t * 3) = 5(2 + -1t) (24 + -9t) = 5(2 + -1t) 24 + -9t = (2 * 5 + -1t * 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 = -4t 24 + -4t = 10 + -5t + 5t Combine like terms: -5t + 5t = 0 24 + -4t = 10 + 0 24 + -4t = 10 Add '-24' to each side of the equation. 24 + -24 + -4t = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -4t = 10 + -24 -4t = 10 + -24 Combine like terms: 10 + -24 = -14 -4t = -14 Divide each side by '-4'. t = 3.5 Simplifying t = 3.5
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