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Simplifying -2t + -19 + -10t = -14t + 19 Reorder the terms: -19 + -2t + -10t = -14t + 19 Combine like terms: -2t + -10t = -12t -19 + -12t = -14t + 19 Reorder the terms: -19 + -12t = 19 + -14t Solving -19 + -12t = 19 + -14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14t' to each side of the equation. -19 + -12t + 14t = 19 + -14t + 14t Combine like terms: -12t + 14t = 2t -19 + 2t = 19 + -14t + 14t Combine like terms: -14t + 14t = 0 -19 + 2t = 19 + 0 -19 + 2t = 19 Add '19' to each side of the equation. -19 + 19 + 2t = 19 + 19 Combine like terms: -19 + 19 = 0 0 + 2t = 19 + 19 2t = 19 + 19 Combine like terms: 19 + 19 = 38 2t = 38 Divide each side by '2'. t = 19 Simplifying t = 19
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