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Simplifying 4 + 9t + -2 = 7t + 9 + -5t Reorder the terms: 4 + -2 + 9t = 7t + 9 + -5t Combine like terms: 4 + -2 = 2 2 + 9t = 7t + 9 + -5t Reorder the terms: 2 + 9t = 9 + 7t + -5t Combine like terms: 7t + -5t = 2t 2 + 9t = 9 + 2t Solving 2 + 9t = 9 + 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. 2 + 9t + -2t = 9 + 2t + -2t Combine like terms: 9t + -2t = 7t 2 + 7t = 9 + 2t + -2t Combine like terms: 2t + -2t = 0 2 + 7t = 9 + 0 2 + 7t = 9 Add '-2' to each side of the equation. 2 + -2 + 7t = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 7t = 9 + -2 7t = 9 + -2 Combine like terms: 9 + -2 = 7 7t = 7 Divide each side by '7'. t = 1 Simplifying t = 1
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