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Simplifying 3(2t + -5) = 30 + -3t Reorder the terms: 3(-5 + 2t) = 30 + -3t (-5 * 3 + 2t * 3) = 30 + -3t (-15 + 6t) = 30 + -3t Solving -15 + 6t = 30 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -15 + 6t + 3t = 30 + -3t + 3t Combine like terms: 6t + 3t = 9t -15 + 9t = 30 + -3t + 3t Combine like terms: -3t + 3t = 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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