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Simplifying 12t + -5 = 13t + 3 Reorder the terms: -5 + 12t = 13t + 3 Reorder the terms: -5 + 12t = 3 + 13t Solving -5 + 12t = 3 + 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. -5 + 12t + -13t = 3 + 13t + -13t Combine like terms: 12t + -13t = -1t -5 + -1t = 3 + 13t + -13t Combine like terms: 13t + -13t = 0 -5 + -1t = 3 + 0 -5 + -1t = 3 Add '5' to each side of the equation. -5 + 5 + -1t = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = 3 + 5 -1t = 3 + 5 Combine like terms: 3 + 5 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8
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