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Simplifying 12t + -8 = 13t + -10 Reorder the terms: -8 + 12t = 13t + -10 Reorder the terms: -8 + 12t = -10 + 13t Solving -8 + 12t = -10 + 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. -8 + 12t + -13t = -10 + 13t + -13t Combine like terms: 12t + -13t = -1t -8 + -1t = -10 + 13t + -13t Combine like terms: 13t + -13t = 0 -8 + -1t = -10 + 0 -8 + -1t = -10 Add '8' to each side of the equation. -8 + 8 + -1t = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -1t = -10 + 8 -1t = -10 + 8 Combine like terms: -10 + 8 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2
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