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Simplifying 7t + 3(1 + -5t) = 0 7t + (1 * 3 + -5t * 3) = 0 7t + (3 + -15t) = 0 Reorder the terms: 3 + 7t + -15t = 0 Combine like terms: 7t + -15t = -8t 3 + -8t = 0 Solving 3 + -8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8t = 0 + -3 -8t = 0 + -3 Combine like terms: 0 + -3 = -3 -8t = -3 Divide each side by '-8'. t = 0.375 Simplifying t = 0.375
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