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Simplifying 3t + -4 + -1(-9) + 6t + -1t = 0 Multiply -1 * -9 3t + -4 + 9 + 6t + -1t = 0 Reorder the terms: -4 + 9 + 3t + 6t + -1t = 0 Combine like terms: -4 + 9 = 5 5 + 3t + 6t + -1t = 0 Combine like terms: 3t + 6t = 9t 5 + 9t + -1t = 0 Combine like terms: 9t + -1t = 8t 5 + 8t = 0 Solving 5 + 8t = 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 + 8t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8t = 0 + -5 8t = 0 + -5 Combine like terms: 0 + -5 = -5 8t = -5 Divide each side by '8'. t = -0.625 Simplifying t = -0.625
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