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Simplifying -8(2t + 3) = -40 Reorder the terms: -8(3 + 2t) = -40 (3 * -8 + 2t * -8) = -40 (-24 + -16t) = -40 Solving -24 + -16t = -40 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 = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -16t = -40 + 24 -16t = -40 + 24 Combine like terms: -40 + 24 = -16 -16t = -16 Divide each side by '-16'. t = 1 Simplifying t = 1
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