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Simplifying -4(2t + 9) = -52 Reorder the terms: -4(9 + 2t) = -52 (9 * -4 + 2t * -4) = -52 (-36 + -8t) = -52 Solving -36 + -8t = -52 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -8t = -52 + 36 Combine like terms: -36 + 36 = 0 0 + -8t = -52 + 36 -8t = -52 + 36 Combine like terms: -52 + 36 = -16 -8t = -16 Divide each side by '-8'. t = 2 Simplifying t = 2
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