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Simplifying 6 + 12t + -5 = 9t + 19t + -3t Reorder the terms: 6 + -5 + 12t = 9t + 19t + -3t Combine like terms: 6 + -5 = 1 1 + 12t = 9t + 19t + -3t Combine like terms: 9t + 19t = 28t 1 + 12t = 28t + -3t Combine like terms: 28t + -3t = 25t 1 + 12t = 25t Solving 1 + 12t = 25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25t' to each side of the equation. 1 + 12t + -25t = 25t + -25t Combine like terms: 12t + -25t = -13t 1 + -13t = 25t + -25t Combine like terms: 25t + -25t = 0 1 + -13t = 0 Add '-1' to each side of the equation. 1 + -1 + -13t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -13t = 0 + -1 -13t = 0 + -1 Combine like terms: 0 + -1 = -1 -13t = -1 Divide each side by '-13'. t = 0.07692307692 Simplifying t = 0.07692307692
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