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Simplifying -6(2t + 5) = -78 Reorder the terms: -6(5 + 2t) = -78 (5 * -6 + 2t * -6) = -78 (-30 + -12t) = -78 Solving -30 + -12t = -78 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -12t = -78 + 30 Combine like terms: -30 + 30 = 0 0 + -12t = -78 + 30 -12t = -78 + 30 Combine like terms: -78 + 30 = -48 -12t = -48 Divide each side by '-12'. t = 4 Simplifying t = 4
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