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Simplifying 2[3t + -8] + -4t = 10 Reorder the terms: 2[-8 + 3t] + -4t = 10 [-8 * 2 + 3t * 2] + -4t = 10 [-16 + 6t] + -4t = 10 Combine like terms: 6t + -4t = 2t -16 + 2t = 10 Solving -16 + 2t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2t = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 2t = 10 + 16 2t = 10 + 16 Combine like terms: 10 + 16 = 26 2t = 26 Divide each side by '2'. t = 13 Simplifying t = 13
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