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Simplifying 10t + -9(t + -4) + 8t = 0 Reorder the terms: 10t + -9(-4 + t) + 8t = 0 10t + (-4 * -9 + t * -9) + 8t = 0 10t + (36 + -9t) + 8t = 0 Reorder the terms: 36 + 10t + -9t + 8t = 0 Combine like terms: 10t + -9t = 1t 36 + 1t + 8t = 0 Combine like terms: 1t + 8t = 9t 36 + 9t = 0 Solving 36 + 9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 9t = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 9t = 0 + -36 9t = 0 + -36 Combine like terms: 0 + -36 = -36 9t = -36 Divide each side by '9'. t = -4 Simplifying t = -4
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