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Simplifying -4(2t + 5) = -52 Reorder the terms: -4(5 + 2t) = -52 (5 * -4 + 2t * -4) = -52 (-20 + -8t) = -52 Solving -20 + -8t = -52 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -8t = -52 + 20 Combine like terms: -20 + 20 = 0 0 + -8t = -52 + 20 -8t = -52 + 20 Combine like terms: -52 + 20 = -32 -8t = -32 Divide each side by '-8'. t = 4 Simplifying t = 4
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