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Simplifying 14t + -22 + 5t = 12t + -8 Reorder the terms: -22 + 14t + 5t = 12t + -8 Combine like terms: 14t + 5t = 19t -22 + 19t = 12t + -8 Reorder the terms: -22 + 19t = -8 + 12t Solving -22 + 19t = -8 + 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. -22 + 19t + -12t = -8 + 12t + -12t Combine like terms: 19t + -12t = 7t -22 + 7t = -8 + 12t + -12t Combine like terms: 12t + -12t = 0 -22 + 7t = -8 + 0 -22 + 7t = -8 Add '22' to each side of the equation. -22 + 22 + 7t = -8 + 22 Combine like terms: -22 + 22 = 0 0 + 7t = -8 + 22 7t = -8 + 22 Combine like terms: -8 + 22 = 14 7t = 14 Divide each side by '7'. t = 2 Simplifying t = 2
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