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Simplifying 9 + 14t + -5 = 9t + 40 + -7t Reorder the terms: 9 + -5 + 14t = 9t + 40 + -7t Combine like terms: 9 + -5 = 4 4 + 14t = 9t + 40 + -7t Reorder the terms: 4 + 14t = 40 + 9t + -7t Combine like terms: 9t + -7t = 2t 4 + 14t = 40 + 2t Solving 4 + 14t = 40 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 4 + 14t + -2t = 40 + 2t + -2t Combine like terms: 14t + -2t = 12t 4 + 12t = 40 + 2t + -2t Combine like terms: 2t + -2t = 0 4 + 12t = 40 + 0 4 + 12t = 40 Add '-4' to each side of the equation. 4 + -4 + 12t = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 12t = 40 + -4 12t = 40 + -4 Combine like terms: 40 + -4 = 36 12t = 36 Divide each side by '12'. t = 3 Simplifying t = 3
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