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Simplifying 5t + 6(-5 + 7t) = 0 5t + (-5 * 6 + 7t * 6) = 0 5t + (-30 + 42t) = 0 Reorder the terms: -30 + 5t + 42t = 0 Combine like terms: 5t + 42t = 47t -30 + 47t = 0 Solving -30 + 47t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 47t = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 47t = 0 + 30 47t = 0 + 30 Combine like terms: 0 + 30 = 30 47t = 30 Divide each side by '47'. t = 0.6382978723 Simplifying t = 0.6382978723
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