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Simplifying -3(2t + 8) = -42 Reorder the terms: -3(8 + 2t) = -42 (8 * -3 + 2t * -3) = -42 (-24 + -6t) = -42 Solving -24 + -6t = -42 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 + -6t = -42 + 24 Combine like terms: -24 + 24 = 0 0 + -6t = -42 + 24 -6t = -42 + 24 Combine like terms: -42 + 24 = -18 -6t = -18 Divide each side by '-6'. t = 3 Simplifying t = 3
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