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Simplifying 2(2t + -5) + 2t = 30 + -1t Reorder the terms: 2(-5 + 2t) + 2t = 30 + -1t (-5 * 2 + 2t * 2) + 2t = 30 + -1t (-10 + 4t) + 2t = 30 + -1t Combine like terms: 4t + 2t = 6t -10 + 6t = 30 + -1t Solving -10 + 6t = 30 + -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. -10 + 6t + t = 30 + -1t + t Combine like terms: 6t + t = 7t -10 + 7t = 30 + -1t + t Combine like terms: -1t + t = 0 -10 + 7t = 30 + 0 -10 + 7t = 30 Add '10' to each side of the equation. -10 + 10 + 7t = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 7t = 30 + 10 7t = 30 + 10 Combine like terms: 30 + 10 = 40 7t = 40 Divide each side by '7'. t = 5.714285714 Simplifying t = 5.714285714
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