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Simplifying 6 + 13t + -4 = 9t + 52 + -6t Reorder the terms: 6 + -4 + 13t = 9t + 52 + -6t Combine like terms: 6 + -4 = 2 2 + 13t = 9t + 52 + -6t Reorder the terms: 2 + 13t = 52 + 9t + -6t Combine like terms: 9t + -6t = 3t 2 + 13t = 52 + 3t Solving 2 + 13t = 52 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 2 + 13t + -3t = 52 + 3t + -3t Combine like terms: 13t + -3t = 10t 2 + 10t = 52 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + 10t = 52 + 0 2 + 10t = 52 Add '-2' to each side of the equation. 2 + -2 + 10t = 52 + -2 Combine like terms: 2 + -2 = 0 0 + 10t = 52 + -2 10t = 52 + -2 Combine like terms: 52 + -2 = 50 10t = 50 Divide each side by '10'. t = 5 Simplifying t = 5
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