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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 = -6 2t = -6 Divide each side by '2'. t = -3 Simplifying t = -3
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