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Simplifying 2t + -13 + 8t = -6 + 9t + -4 Reorder the terms: -13 + 2t + 8t = -6 + 9t + -4 Combine like terms: 2t + 8t = 10t -13 + 10t = -6 + 9t + -4 Reorder the terms: -13 + 10t = -6 + -4 + 9t Combine like terms: -6 + -4 = -10 -13 + 10t = -10 + 9t Solving -13 + 10t = -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. -13 + 10t + -9t = -10 + 9t + -9t Combine like terms: 10t + -9t = 1t -13 + 1t = -10 + 9t + -9t Combine like terms: 9t + -9t = 0 -13 + 1t = -10 + 0 -13 + 1t = -10 Add '13' to each side of the equation. -13 + 13 + 1t = -10 + 13 Combine like terms: -13 + 13 = 0 0 + 1t = -10 + 13 1t = -10 + 13 Combine like terms: -10 + 13 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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