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Simplifying 2(3t + -5) + t = 30 + -1t Reorder the terms: 2(-5 + 3t) + t = 30 + -1t (-5 * 2 + 3t * 2) + t = 30 + -1t (-10 + 6t) + t = 30 + -1t Combine like terms: 6t + t = 7t -10 + 7t = 30 + -1t Solving -10 + 7t = 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. -10 + 7t + t = 30 + -1t + t Combine like terms: 7t + t = 8t -10 + 8t = 30 + -1t + t Combine like terms: -1t + t = 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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