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Simplifying 3(7t + 5) + 5t = 0 Reorder the terms: 3(5 + 7t) + 5t = 0 (5 * 3 + 7t * 3) + 5t = 0 (15 + 21t) + 5t = 0 Combine like terms: 21t + 5t = 26t 15 + 26t = 0 Solving 15 + 26t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 26t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 26t = 0 + -15 26t = 0 + -15 Combine like terms: 0 + -15 = -15 26t = -15 Divide each side by '26'. t = -0.5769230769 Simplifying t = -0.5769230769
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