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Simplifying 2(5t + -3) + t = 30 + -1t Reorder the terms: 2(-3 + 5t) + t = 30 + -1t (-3 * 2 + 5t * 2) + t = 30 + -1t (-6 + 10t) + t = 30 + -1t Combine like terms: 10t + t = 11t -6 + 11t = 30 + -1t Solving -6 + 11t = 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. -6 + 11t + t = 30 + -1t + t Combine like terms: 11t + t = 12t -6 + 12t = 30 + -1t + t Combine like terms: -1t + t = 0 -6 + 12t = 30 + 0 -6 + 12t = 30 Add '6' to each side of the equation. -6 + 6 + 12t = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 12t = 30 + 6 12t = 30 + 6 Combine like terms: 30 + 6 = 36 12t = 36 Divide each side by '12'. t = 3 Simplifying t = 3
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