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Simplifying 4t + 20 + -3t + 12 = 14 Reorder the terms: 20 + 12 + 4t + -3t = 14 Combine like terms: 20 + 12 = 32 32 + 4t + -3t = 14 Combine like terms: 4t + -3t = 1t 32 + 1t = 14 Solving 32 + 1t = 14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 1t = 14 + -32 Combine like terms: 32 + -32 = 0 0 + 1t = 14 + -32 1t = 14 + -32 Combine like terms: 14 + -32 = -18 1t = -18 Divide each side by '1'. t = -18 Simplifying t = -18
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