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Simplifying 9t + 1 = 4t + -9 Reorder the terms: 1 + 9t = 4t + -9 Reorder the terms: 1 + 9t = -9 + 4t Solving 1 + 9t = -9 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 1 + 9t + -4t = -9 + 4t + -4t Combine like terms: 9t + -4t = 5t 1 + 5t = -9 + 4t + -4t Combine like terms: 4t + -4t = 0 1 + 5t = -9 + 0 1 + 5t = -9 Add '-1' to each side of the equation. 1 + -1 + 5t = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 5t = -9 + -1 5t = -9 + -1 Combine like terms: -9 + -1 = -10 5t = -10 Divide each side by '5'. t = -2 Simplifying t = -2
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