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Simplifying 3 + 4t = 9t + 13 Reorder the terms: 3 + 4t = 13 + 9t Solving 3 + 4t = 13 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 3 + 4t + -9t = 13 + 9t + -9t Combine like terms: 4t + -9t = -5t 3 + -5t = 13 + 9t + -9t Combine like terms: 9t + -9t = 0 3 + -5t = 13 + 0 3 + -5t = 13 Add '-3' to each side of the equation. 3 + -3 + -5t = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5t = 13 + -3 -5t = 13 + -3 Combine like terms: 13 + -3 = 10 -5t = 10 Divide each side by '-5'. t = -2 Simplifying t = -2
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