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Simplifying -2(2t + 6) = -32 Reorder the terms: -2(6 + 2t) = -32 (6 * -2 + 2t * -2) = -32 (-12 + -4t) = -32 Solving -12 + -4t = -32 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 + -4t = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -4t = -32 + 12 -4t = -32 + 12 Combine like terms: -32 + 12 = -20 -4t = -20 Divide each side by '-4'. t = 5 Simplifying t = 5
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