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Simplifying 14 + 9t = 6t + -12 + -1t Reorder the terms: 14 + 9t = -12 + 6t + -1t Combine like terms: 6t + -1t = 5t 14 + 9t = -12 + 5t Solving 14 + 9t = -12 + 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 = -12 + 5t + -5t Combine like terms: 9t + -5t = 4t 14 + 4t = -12 + 5t + -5t Combine like terms: 5t + -5t = 0 14 + 4t = -12 + 0 14 + 4t = -12 Add '-14' to each side of the equation. 14 + -14 + 4t = -12 + -14 Combine like terms: 14 + -14 = 0 0 + 4t = -12 + -14 4t = -12 + -14 Combine like terms: -12 + -14 = -26 4t = -26 Divide each side by '4'. t = -6.5 Simplifying t = -6.5
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