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Simplifying -4(2t + 6) = -40 Reorder the terms: -4(6 + 2t) = -40 (6 * -4 + 2t * -4) = -40 (-24 + -8t) = -40 Solving -24 + -8t = -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 + -8t = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -8t = -40 + 24 -8t = -40 + 24 Combine like terms: -40 + 24 = -16 -8t = -16 Divide each side by '-8'. t = 2 Simplifying t = 2
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