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Simplifying 2(4t + -2) + t = 16 + -1t Reorder the terms: 2(-2 + 4t) + t = 16 + -1t (-2 * 2 + 4t * 2) + t = 16 + -1t (-4 + 8t) + t = 16 + -1t Combine like terms: 8t + t = 9t -4 + 9t = 16 + -1t Solving -4 + 9t = 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. -4 + 9t + t = 16 + -1t + t Combine like terms: 9t + t = 10t -4 + 10t = 16 + -1t + t Combine like terms: -1t + t = 0 -4 + 10t = 16 + 0 -4 + 10t = 16 Add '4' to each side of the equation. -4 + 4 + 10t = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 10t = 16 + 4 10t = 16 + 4 Combine like terms: 16 + 4 = 20 10t = 20 Divide each side by '10'. t = 2 Simplifying t = 2
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