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Simplifying -4(2t + 8) = -48 Reorder the terms: -4(8 + 2t) = -48 (8 * -4 + 2t * -4) = -48 (-32 + -8t) = -48 Solving -32 + -8t = -48 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -8t = -48 + 32 Combine like terms: -32 + 32 = 0 0 + -8t = -48 + 32 -8t = -48 + 32 Combine like terms: -48 + 32 = -16 -8t = -16 Divide each side by '-8'. t = 2 Simplifying t = 2
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