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Simplifying 2(4t + -3) + 6(5t + -5) + 4t = 0 Reorder the terms: 2(-3 + 4t) + 6(5t + -5) + 4t = 0 (-3 * 2 + 4t * 2) + 6(5t + -5) + 4t = 0 (-6 + 8t) + 6(5t + -5) + 4t = 0 Reorder the terms: -6 + 8t + 6(-5 + 5t) + 4t = 0 -6 + 8t + (-5 * 6 + 5t * 6) + 4t = 0 -6 + 8t + (-30 + 30t) + 4t = 0 Reorder the terms: -6 + -30 + 8t + 30t + 4t = 0 Combine like terms: -6 + -30 = -36 -36 + 8t + 30t + 4t = 0 Combine like terms: 8t + 30t = 38t -36 + 38t + 4t = 0 Combine like terms: 38t + 4t = 42t -36 + 42t = 0 Solving -36 + 42t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 42t = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 42t = 0 + 36 42t = 0 + 36 Combine like terms: 0 + 36 = 36 42t = 36 Divide each side by '42'. t = 0.8571428571 Simplifying t = 0.8571428571
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