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Simplifying -6(2t + 6) = -84 Reorder the terms: -6(6 + 2t) = -84 (6 * -6 + 2t * -6) = -84 (-36 + -12t) = -84 Solving -36 + -12t = -84 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -12t = -84 + 36 Combine like terms: -36 + 36 = 0 0 + -12t = -84 + 36 -12t = -84 + 36 Combine like terms: -84 + 36 = -48 -12t = -48 Divide each side by '-12'. t = 4 Simplifying t = 4
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