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Simplifying 8t + 16 + -3t + -12 = 6 + -34 Reorder the terms: 16 + -12 + 8t + -3t = 6 + -34 Combine like terms: 16 + -12 = 4 4 + 8t + -3t = 6 + -34 Combine like terms: 8t + -3t = 5t 4 + 5t = 6 + -34 Combine like terms: 6 + -34 = -28 4 + 5t = -28 Solving 4 + 5t = -28 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5t = -28 + -4 Combine like terms: 4 + -4 = 0 0 + 5t = -28 + -4 5t = -28 + -4 Combine like terms: -28 + -4 = -32 5t = -32 Divide each side by '5'. t = -6.4 Simplifying t = -6.4
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