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Simplifying 4(3t + -5) + -2(4 + -6t) = 0 Reorder the terms: 4(-5 + 3t) + -2(4 + -6t) = 0 (-5 * 4 + 3t * 4) + -2(4 + -6t) = 0 (-20 + 12t) + -2(4 + -6t) = 0 -20 + 12t + (4 * -2 + -6t * -2) = 0 -20 + 12t + (-8 + 12t) = 0 Reorder the terms: -20 + -8 + 12t + 12t = 0 Combine like terms: -20 + -8 = -28 -28 + 12t + 12t = 0 Combine like terms: 12t + 12t = 24t -28 + 24t = 0 Solving -28 + 24t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 24t = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 24t = 0 + 28 24t = 0 + 28 Combine like terms: 0 + 28 = 28 24t = 28 Divide each side by '24'. t = 1.166666667 Simplifying t = 1.166666667
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