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Simplifying 9t + 49 = 13t + 45 Reorder the terms: 49 + 9t = 13t + 45 Reorder the terms: 49 + 9t = 45 + 13t Solving 49 + 9t = 45 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. 49 + 9t + -13t = 45 + 13t + -13t Combine like terms: 9t + -13t = -4t 49 + -4t = 45 + 13t + -13t Combine like terms: 13t + -13t = 0 49 + -4t = 45 + 0 49 + -4t = 45 Add '-49' to each side of the equation. 49 + -49 + -4t = 45 + -49 Combine like terms: 49 + -49 = 0 0 + -4t = 45 + -49 -4t = 45 + -49 Combine like terms: 45 + -49 = -4 -4t = -4 Divide each side by '-4'. t = 1 Simplifying t = 1
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