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Simplifying 10t + -20 = 9t + -13 Reorder the terms: -20 + 10t = 9t + -13 Reorder the terms: -20 + 10t = -13 + 9t Solving -20 + 10t = -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. -20 + 10t + -9t = -13 + 9t + -9t Combine like terms: 10t + -9t = 1t -20 + 1t = -13 + 9t + -9t Combine like terms: 9t + -9t = 0 -20 + 1t = -13 + 0 -20 + 1t = -13 Add '20' to each side of the equation. -20 + 20 + 1t = -13 + 20 Combine like terms: -20 + 20 = 0 0 + 1t = -13 + 20 1t = -13 + 20 Combine like terms: -13 + 20 = 7 1t = 7 Divide each side by '1'. t = 7 Simplifying t = 7
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