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Simplifying 2(3t + -5) = 30 + -2t Reorder the terms: 2(-5 + 3t) = 30 + -2t (-5 * 2 + 3t * 2) = 30 + -2t (-10 + 6t) = 30 + -2t Solving -10 + 6t = 30 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -10 + 6t + 2t = 30 + -2t + 2t Combine like terms: 6t + 2t = 8t -10 + 8t = 30 + -2t + 2t Combine like terms: -2t + 2t = 0 -10 + 8t = 30 + 0 -10 + 8t = 30 Add '10' to each side of the equation. -10 + 10 + 8t = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 8t = 30 + 10 8t = 30 + 10 Combine like terms: 30 + 10 = 40 8t = 40 Divide each side by '8'. t = 5 Simplifying t = 5
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