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Simplifying 5t + 2(3t + 5) = 0 Reorder the terms: 5t + 2(5 + 3t) = 0 5t + (5 * 2 + 3t * 2) = 0 5t + (10 + 6t) = 0 Reorder the terms: 10 + 5t + 6t = 0 Combine like terms: 5t + 6t = 11t 10 + 11t = 0 Solving 10 + 11t = 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 + 11t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11t = 0 + -10 11t = 0 + -10 Combine like terms: 0 + -10 = -10 11t = -10 Divide each side by '11'. t = -0.9090909091 Simplifying t = -0.9090909091
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