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Simplifying -6(2t + 5) = -42 Reorder the terms: -6(5 + 2t) = -42 (5 * -6 + 2t * -6) = -42 (-30 + -12t) = -42 Solving -30 + -12t = -42 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 = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -12t = -42 + 30 -12t = -42 + 30 Combine like terms: -42 + 30 = -12 -12t = -12 Divide each side by '-12'. t = 1 Simplifying t = 1
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