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Simplifying -2(2t + 9) = -42 Reorder the terms: -2(9 + 2t) = -42 (9 * -2 + 2t * -2) = -42 (-18 + -4t) = -42 Solving -18 + -4t = -42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -4t = -42 + 18 Combine like terms: -18 + 18 = 0 0 + -4t = -42 + 18 -4t = -42 + 18 Combine like terms: -42 + 18 = -24 -4t = -24 Divide each side by '-4'. t = 6 Simplifying t = 6
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