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Simplifying 6t + 5(1 + -3t) = 0 6t + (1 * 5 + -3t * 5) = 0 6t + (5 + -15t) = 0 Reorder the terms: 5 + 6t + -15t = 0 Combine like terms: 6t + -15t = -9t 5 + -9t = 0 Solving 5 + -9t = 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 + -9t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9t = 0 + -5 -9t = 0 + -5 Combine like terms: 0 + -5 = -5 -9t = -5 Divide each side by '-9'. t = 0.5555555556 Simplifying t = 0.5555555556
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