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Simplifying 5t + -10 + 8t = 9t + 10 Reorder the terms: -10 + 5t + 8t = 9t + 10 Combine like terms: 5t + 8t = 13t -10 + 13t = 9t + 10 Reorder the terms: -10 + 13t = 10 + 9t Solving -10 + 13t = 10 + 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. -10 + 13t + -9t = 10 + 9t + -9t Combine like terms: 13t + -9t = 4t -10 + 4t = 10 + 9t + -9t Combine like terms: 9t + -9t = 0 -10 + 4t = 10 + 0 -10 + 4t = 10 Add '10' to each side of the equation. -10 + 10 + 4t = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 4t = 10 + 10 4t = 10 + 10 Combine like terms: 10 + 10 = 20 4t = 20 Divide each side by '4'. t = 5 Simplifying t = 5
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