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Simplifying -6(2t + 7) = -102 Reorder the terms: -6(7 + 2t) = -102 (7 * -6 + 2t * -6) = -102 (-42 + -12t) = -102 Solving -42 + -12t = -102 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -12t = -102 + 42 Combine like terms: -42 + 42 = 0 0 + -12t = -102 + 42 -12t = -102 + 42 Combine like terms: -102 + 42 = -60 -12t = -60 Divide each side by '-12'. t = 5 Simplifying t = 5
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