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Simplifying -8(2t + 3) = 34 Reorder the terms: -8(3 + 2t) = 34 (3 * -8 + 2t * -8) = 34 (-24 + -16t) = 34 Solving -24 + -16t = 34 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 + -16t = 34 + 24 Combine like terms: -24 + 24 = 0 0 + -16t = 34 + 24 -16t = 34 + 24 Combine like terms: 34 + 24 = 58 -16t = 58 Divide each side by '-16'. t = -3.625 Simplifying t = -3.625
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