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Simplifying 5t + -3 + 4t = 6 + 2t + -9 Reorder the terms: -3 + 5t + 4t = 6 + 2t + -9 Combine like terms: 5t + 4t = 9t -3 + 9t = 6 + 2t + -9 Reorder the terms: -3 + 9t = 6 + -9 + 2t Combine like terms: 6 + -9 = -3 -3 + 9t = -3 + 2t Add '3' to each side of the equation. -3 + 3 + 9t = -3 + 3 + 2t Combine like terms: -3 + 3 = 0 0 + 9t = -3 + 3 + 2t 9t = -3 + 3 + 2t Combine like terms: -3 + 3 = 0 9t = 0 + 2t 9t = 2t Solving 9t = 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 9t + -2t = 2t + -2t Combine like terms: 9t + -2t = 7t 7t = 2t + -2t Combine like terms: 2t + -2t = 0 7t = 0 Divide each side by '7'. t = 0 Simplifying t = 0
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