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Simplifying -1(5t + 4) + 2(6t + -10) = 0 Reorder the terms: -1(4 + 5t) + 2(6t + -10) = 0 (4 * -1 + 5t * -1) + 2(6t + -10) = 0 (-4 + -5t) + 2(6t + -10) = 0 Reorder the terms: -4 + -5t + 2(-10 + 6t) = 0 -4 + -5t + (-10 * 2 + 6t * 2) = 0 -4 + -5t + (-20 + 12t) = 0 Reorder the terms: -4 + -20 + -5t + 12t = 0 Combine like terms: -4 + -20 = -24 -24 + -5t + 12t = 0 Combine like terms: -5t + 12t = 7t -24 + 7t = 0 Solving -24 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 7t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 7t = 0 + 24 7t = 0 + 24 Combine like terms: 0 + 24 = 24 7t = 24 Divide each side by '7'. t = 3.428571429 Simplifying t = 3.428571429
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