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Simplifying -6(2t + 5) = -102 Reorder the terms: -6(5 + 2t) = -102 (5 * -6 + 2t * -6) = -102 (-30 + -12t) = -102 Solving -30 + -12t = -102 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 = -102 + 30 Combine like terms: -30 + 30 = 0 0 + -12t = -102 + 30 -12t = -102 + 30 Combine like terms: -102 + 30 = -72 -12t = -72 Divide each side by '-12'. t = 6 Simplifying t = 6
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