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Simplifying 2(4t + -2) + t = 16 Reorder the terms: 2(-2 + 4t) + t = 16 (-2 * 2 + 4t * 2) + t = 16 (-4 + 8t) + t = 16 Combine like terms: 8t + t = 9t -4 + 9t = 16 Solving -4 + 9t = 16 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 + 9t = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 9t = 16 + 4 9t = 16 + 4 Combine like terms: 16 + 4 = 20 9t = 20 Divide each side by '9'. t = 2.222222222 Simplifying t = 2.222222222
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