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Simplifying -14 + 13t = 16t + 1 + -4t Reorder the terms: -14 + 13t = 1 + 16t + -4t Combine like terms: 16t + -4t = 12t -14 + 13t = 1 + 12t Solving -14 + 13t = 1 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -14 + 13t + -12t = 1 + 12t + -12t Combine like terms: 13t + -12t = 1t -14 + 1t = 1 + 12t + -12t Combine like terms: 12t + -12t = 0 -14 + 1t = 1 + 0 -14 + 1t = 1 Add '14' to each side of the equation. -14 + 14 + 1t = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 1t = 1 + 14 1t = 1 + 14 Combine like terms: 1 + 14 = 15 1t = 15 Divide each side by '1'. t = 15 Simplifying t = 15
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