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Simplifying -1(12t + 5) + 3t = 0 Reorder the terms: -1(5 + 12t) + 3t = 0 (5 * -1 + 12t * -1) + 3t = 0 (-5 + -12t) + 3t = 0 Combine like terms: -12t + 3t = -9t -5 + -9t = 0 Solving -5 + -9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9t = 0 + 5 -9t = 0 + 5 Combine like terms: 0 + 5 = 5 -9t = 5 Divide each side by '-9'. t = -0.5555555556 Simplifying t = -0.5555555556
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