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Simplifying 2(3t + -5) + t = 0 Reorder the terms: 2(-5 + 3t) + t = 0 (-5 * 2 + 3t * 2) + t = 0 (-10 + 6t) + t = 0 Combine like terms: 6t + t = 7t -10 + 7t = 0 Solving -10 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7t = 0 + 10 7t = 0 + 10 Combine like terms: 0 + 10 = 10 7t = 10 Divide each side by '7'. t = 1.428571429 Simplifying t = 1.428571429
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