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Simplifying t + 28 = 13t + -8 Reorder the terms: 28 + t = 13t + -8 Reorder the terms: 28 + t = -8 + 13t Solving 28 + t = -8 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. 28 + t + -13t = -8 + 13t + -13t Combine like terms: t + -13t = -12t 28 + -12t = -8 + 13t + -13t Combine like terms: 13t + -13t = 0 28 + -12t = -8 + 0 28 + -12t = -8 Add '-28' to each side of the equation. 28 + -28 + -12t = -8 + -28 Combine like terms: 28 + -28 = 0 0 + -12t = -8 + -28 -12t = -8 + -28 Combine like terms: -8 + -28 = -36 -12t = -36 Divide each side by '-12'. t = 3 Simplifying t = 3
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