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Simplifying (6 + -1t + -1t4) + (9t + t4) = 0 Remove parenthesis around (6 + -1t + -1t4) 6 + -1t + -1t4 + (9t + t4) = 0 Remove parenthesis around (9t + t4) 6 + -1t + -1t4 + 9t + t4 = 0 Reorder the terms: 6 + -1t + 9t + -1t4 + t4 = 0 Combine like terms: -1t + 9t = 8t 6 + 8t + -1t4 + t4 = 0 Combine like terms: -1t4 + t4 = 0 6 + 8t + 0 = 0 6 + 8t = 0 Solving 6 + 8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 8t = 0 + -6 8t = 0 + -6 Combine like terms: 0 + -6 = -6 8t = -6 Divide each side by '8'. t = -0.75 Simplifying t = -0.75
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