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Simplifying -8(2t + 1) = -40 Reorder the terms: -8(1 + 2t) = -40 (1 * -8 + 2t * -8) = -40 (-8 + -16t) = -40 Solving -8 + -16t = -40 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -16t = -40 + 8 Combine like terms: -8 + 8 = 0 0 + -16t = -40 + 8 -16t = -40 + 8 Combine like terms: -40 + 8 = -32 -16t = -32 Divide each side by '-16'. t = 2 Simplifying t = 2
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