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Simplifying 8t + 16 + -3t + 12 = 6 + -42 + 8 Reorder the terms: 16 + 12 + 8t + -3t = 6 + -42 + 8 Combine like terms: 16 + 12 = 28 28 + 8t + -3t = 6 + -42 + 8 Combine like terms: 8t + -3t = 5t 28 + 5t = 6 + -42 + 8 Combine like terms: 6 + -42 = -36 28 + 5t = -36 + 8 Combine like terms: -36 + 8 = -28 28 + 5t = -28 Solving 28 + 5t = -28 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 5t = -28 + -28 Combine like terms: 28 + -28 = 0 0 + 5t = -28 + -28 5t = -28 + -28 Combine like terms: -28 + -28 = -56 5t = -56 Divide each side by '5'. t = -11.2 Simplifying t = -11.2
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