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Simplifying 7t + 2(1 + 5t) = 0 7t + (1 * 2 + 5t * 2) = 0 7t + (2 + 10t) = 0 Reorder the terms: 2 + 7t + 10t = 0 Combine like terms: 7t + 10t = 17t 2 + 17t = 0 Solving 2 + 17t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 17t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 17t = 0 + -2 17t = 0 + -2 Combine like terms: 0 + -2 = -2 17t = -2 Divide each side by '17'. t = -0.1176470588 Simplifying t = -0.1176470588
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