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Simplifying 10t + -26 = 12t + -52 Reorder the terms: -26 + 10t = 12t + -52 Reorder the terms: -26 + 10t = -52 + 12t Solving -26 + 10t = -52 + 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. -26 + 10t + -12t = -52 + 12t + -12t Combine like terms: 10t + -12t = -2t -26 + -2t = -52 + 12t + -12t Combine like terms: 12t + -12t = 0 -26 + -2t = -52 + 0 -26 + -2t = -52 Add '26' to each side of the equation. -26 + 26 + -2t = -52 + 26 Combine like terms: -26 + 26 = 0 0 + -2t = -52 + 26 -2t = -52 + 26 Combine like terms: -52 + 26 = -26 -2t = -26 Divide each side by '-2'. t = 13 Simplifying t = 13
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