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Simplifying 2(4t + -2) + 1 = 16 + -1t Reorder the terms: 2(-2 + 4t) + 1 = 16 + -1t (-2 * 2 + 4t * 2) + 1 = 16 + -1t (-4 + 8t) + 1 = 16 + -1t Reorder the terms: -4 + 1 + 8t = 16 + -1t Combine like terms: -4 + 1 = -3 -3 + 8t = 16 + -1t Solving -3 + 8t = 16 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -3 + 8t + t = 16 + -1t + t Combine like terms: 8t + t = 9t -3 + 9t = 16 + -1t + t Combine like terms: -1t + t = 0 -3 + 9t = 16 + 0 -3 + 9t = 16 Add '3' to each side of the equation. -3 + 3 + 9t = 16 + 3 Combine like terms: -3 + 3 = 0 0 + 9t = 16 + 3 9t = 16 + 3 Combine like terms: 16 + 3 = 19 9t = 19 Divide each side by '9'. t = 2.111111111 Simplifying t = 2.111111111
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