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Simplifying -4(2t + 3) = -52 Reorder the terms: -4(3 + 2t) = -52 (3 * -4 + 2t * -4) = -52 (-12 + -8t) = -52 Solving -12 + -8t = -52 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -8t = -52 + 12 Combine like terms: -12 + 12 = 0 0 + -8t = -52 + 12 -8t = -52 + 12 Combine like terms: -52 + 12 = -40 -8t = -40 Divide each side by '-8'. t = 5 Simplifying t = 5
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