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Simplifying 3(2t + -5) + 2t = 30 + -1t Reorder the terms: 3(-5 + 2t) + 2t = 30 + -1t (-5 * 3 + 2t * 3) + 2t = 30 + -1t (-15 + 6t) + 2t = 30 + -1t Combine like terms: 6t + 2t = 8t -15 + 8t = 30 + -1t Solving -15 + 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. -15 + 8t + t = 30 + -1t + t Combine like terms: 8t + t = 9t -15 + 9t = 30 + -1t + t Combine like terms: -1t + t = 0 -15 + 9t = 30 + 0 -15 + 9t = 30 Add '15' to each side of the equation. -15 + 15 + 9t = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 9t = 30 + 15 9t = 30 + 15 Combine like terms: 30 + 15 = 45 9t = 45 Divide each side by '9'. t = 5 Simplifying t = 5
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