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Simplifying 3(2t + -5) + 2t = 30 + -6 Reorder the terms: 3(-5 + 2t) + 2t = 30 + -6 (-5 * 3 + 2t * 3) + 2t = 30 + -6 (-15 + 6t) + 2t = 30 + -6 Combine like terms: 6t + 2t = 8t -15 + 8t = 30 + -6 Combine like terms: 30 + -6 = 24 -15 + 8t = 24 Solving -15 + 8t = 24 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8t = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 8t = 24 + 15 8t = 24 + 15 Combine like terms: 24 + 15 = 39 8t = 39 Divide each side by '8'. t = 4.875 Simplifying t = 4.875
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