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Simplifying 2(2t + -3) + 4t = 30 + -1t Reorder the terms: 2(-3 + 2t) + 4t = 30 + -1t (-3 * 2 + 2t * 2) + 4t = 30 + -1t (-6 + 4t) + 4t = 30 + -1t Combine like terms: 4t + 4t = 8t -6 + 8t = 30 + -1t Solving -6 + 8t = 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. -6 + 8t + t = 30 + -1t + t Combine like terms: 8t + t = 9t -6 + 9t = 30 + -1t + t Combine like terms: -1t + t = 0 -6 + 9t = 30 + 0 -6 + 9t = 30 Add '6' to each side of the equation. -6 + 6 + 9t = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 9t = 30 + 6 9t = 30 + 6 Combine like terms: 30 + 6 = 36 9t = 36 Divide each side by '9'. t = 4 Simplifying t = 4
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