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Simplifying 13t + -10 = 5t + 14 Reorder the terms: -10 + 13t = 5t + 14 Reorder the terms: -10 + 13t = 14 + 5t Solving -10 + 13t = 14 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -10 + 13t + -5t = 14 + 5t + -5t Combine like terms: 13t + -5t = 8t -10 + 8t = 14 + 5t + -5t Combine like terms: 5t + -5t = 0 -10 + 8t = 14 + 0 -10 + 8t = 14 Add '10' to each side of the equation. -10 + 10 + 8t = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 8t = 14 + 10 8t = 14 + 10 Combine like terms: 14 + 10 = 24 8t = 24 Divide each side by '8'. t = 3 Simplifying t = 3
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