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Simplifying 5t + -11 + -9t + 6 = 19 + 8t Reorder the terms: -11 + 6 + 5t + -9t = 19 + 8t Combine like terms: -11 + 6 = -5 -5 + 5t + -9t = 19 + 8t Combine like terms: 5t + -9t = -4t -5 + -4t = 19 + 8t Solving -5 + -4t = 19 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -5 + -4t + -8t = 19 + 8t + -8t Combine like terms: -4t + -8t = -12t -5 + -12t = 19 + 8t + -8t Combine like terms: 8t + -8t = 0 -5 + -12t = 19 + 0 -5 + -12t = 19 Add '5' to each side of the equation. -5 + 5 + -12t = 19 + 5 Combine like terms: -5 + 5 = 0 0 + -12t = 19 + 5 -12t = 19 + 5 Combine like terms: 19 + 5 = 24 -12t = 24 Divide each side by '-12'. t = -2 Simplifying t = -2
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