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Simplifying -4(2t + 7) = -52 Reorder the terms: -4(7 + 2t) = -52 (7 * -4 + 2t * -4) = -52 (-28 + -8t) = -52 Solving -28 + -8t = -52 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -8t = -52 + 28 Combine like terms: -28 + 28 = 0 0 + -8t = -52 + 28 -8t = -52 + 28 Combine like terms: -52 + 28 = -24 -8t = -24 Divide each side by '-8'. t = 3 Simplifying t = 3
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