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Simplifying 19t + 5(1 + -5t) = 0 19t + (1 * 5 + -5t * 5) = 0 19t + (5 + -25t) = 0 Reorder the terms: 5 + 19t + -25t = 0 Combine like terms: 19t + -25t = -6t 5 + -6t = 0 Solving 5 + -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6t = 0 + -5 -6t = 0 + -5 Combine like terms: 0 + -5 = -5 -6t = -5 Divide each side by '-6'. t = 0.8333333333 Simplifying t = 0.8333333333
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