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Simplifying -6(2t + 3) = -78 Reorder the terms: -6(3 + 2t) = -78 (3 * -6 + 2t * -6) = -78 (-18 + -12t) = -78 Solving -18 + -12t = -78 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -12t = -78 + 18 Combine like terms: -18 + 18 = 0 0 + -12t = -78 + 18 -12t = -78 + 18 Combine like terms: -78 + 18 = -60 -12t = -60 Divide each side by '-12'. t = 5 Simplifying t = 5
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