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Simplifying 13t + -14 = 3t + 16 Reorder the terms: -14 + 13t = 3t + 16 Reorder the terms: -14 + 13t = 16 + 3t Solving -14 + 13t = 16 + 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. -14 + 13t + -3t = 16 + 3t + -3t Combine like terms: 13t + -3t = 10t -14 + 10t = 16 + 3t + -3t Combine like terms: 3t + -3t = 0 -14 + 10t = 16 + 0 -14 + 10t = 16 Add '14' to each side of the equation. -14 + 14 + 10t = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 10t = 16 + 14 10t = 16 + 14 Combine like terms: 16 + 14 = 30 10t = 30 Divide each side by '10'. t = 3 Simplifying t = 3
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