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Simplifying 12 + 2t + 7t + -4t = 32 Combine like terms: 2t + 7t = 9t 12 + 9t + -4t = 32 Combine like terms: 9t + -4t = 5t 12 + 5t = 32 Solving 12 + 5t = 32 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. 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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