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Simplifying 3t + -11 + 4t + -13 + t = 12 Reorder the terms: -11 + -13 + 3t + 4t + t = 12 Combine like terms: -11 + -13 = -24 -24 + 3t + 4t + t = 12 Combine like terms: 3t + 4t = 7t -24 + 7t + t = 12 Combine like terms: 7t + t = 8t -24 + 8t = 12 Solving -24 + 8t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 8t = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 8t = 12 + 24 8t = 12 + 24 Combine like terms: 12 + 24 = 36 8t = 36 Divide each side by '8'. t = 4.5 Simplifying t = 4.5
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