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Simplifying 9t + 12 = 4t + 32 Reorder the terms: 12 + 9t = 4t + 32 Reorder the terms: 12 + 9t = 32 + 4t Solving 12 + 9t = 32 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 12 + 9t + -4t = 32 + 4t + -4t Combine like terms: 9t + -4t = 5t 12 + 5t = 32 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + 5t = 32 + 0 12 + 5t = 32 Add '-12' to each side of the equation. 12 + -12 + 5t = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 5t = 32 + -12 5t = 32 + -12 Combine like terms: 32 + -12 = 20 5t = 20 Divide each side by '5'. t = 4 Simplifying t = 4
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