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Simplifying 9t + -14 = 5t + -6 Reorder the terms: -14 + 9t = 5t + -6 Reorder the terms: -14 + 9t = -6 + 5t Solving -14 + 9t = -6 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -14 + 9t + -5t = -6 + 5t + -5t Combine like terms: 9t + -5t = 4t -14 + 4t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 -14 + 4t = -6 + 0 -14 + 4t = -6 Add '14' to each side of the equation. -14 + 14 + 4t = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 4t = -6 + 14 4t = -6 + 14 Combine like terms: -6 + 14 = 8 4t = 8 Divide each side by '4'. t = 2 Simplifying t = 2
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