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Simplifying 2(4t + -2) + t = 16t Reorder the terms: 2(-2 + 4t) + t = 16t (-2 * 2 + 4t * 2) + t = 16t (-4 + 8t) + t = 16t Combine like terms: 8t + t = 9t -4 + 9t = 16t Solving -4 + 9t = 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. -4 + 9t + -16t = 16t + -16t Combine like terms: 9t + -16t = -7t -4 + -7t = 16t + -16t Combine like terms: 16t + -16t = 0 -4 + -7t = 0 Add '4' to each side of the equation. -4 + 4 + -7t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7t = 0 + 4 -7t = 0 + 4 Combine like terms: 0 + 4 = 4 -7t = 4 Divide each side by '-7'. t = -0.5714285714 Simplifying t = -0.5714285714
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