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Simplifying -3(4t + 5) + 7(3t + -4) = 0 Reorder the terms: -3(5 + 4t) + 7(3t + -4) = 0 (5 * -3 + 4t * -3) + 7(3t + -4) = 0 (-15 + -12t) + 7(3t + -4) = 0 Reorder the terms: -15 + -12t + 7(-4 + 3t) = 0 -15 + -12t + (-4 * 7 + 3t * 7) = 0 -15 + -12t + (-28 + 21t) = 0 Reorder the terms: -15 + -28 + -12t + 21t = 0 Combine like terms: -15 + -28 = -43 -43 + -12t + 21t = 0 Combine like terms: -12t + 21t = 9t -43 + 9t = 0 Solving -43 + 9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 9t = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 9t = 0 + 43 9t = 0 + 43 Combine like terms: 0 + 43 = 43 9t = 43 Divide each side by '9'. t = 4.777777778 Simplifying t = 4.777777778
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