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Simplifying (6t + 2) + (9t + -6) = 0 Reorder the terms: (2 + 6t) + (9t + -6) = 0 Remove parenthesis around (2 + 6t) 2 + 6t + (9t + -6) = 0 Reorder the terms: 2 + 6t + (-6 + 9t) = 0 Remove parenthesis around (-6 + 9t) 2 + 6t + -6 + 9t = 0 Reorder the terms: 2 + -6 + 6t + 9t = 0 Combine like terms: 2 + -6 = -4 -4 + 6t + 9t = 0 Combine like terms: 6t + 9t = 15t -4 + 15t = 0 Solving -4 + 15t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 15t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 15t = 0 + 4 15t = 0 + 4 Combine like terms: 0 + 4 = 4 15t = 4 Divide each side by '15'. t = 0.2666666667 Simplifying t = 0.2666666667
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