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Simplifying 3t + -2 = 30 + -1t Reorder the terms: -2 + 3t = 30 + -1t Solving -2 + 3t = 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. -2 + 3t + t = 30 + -1t + t Combine like terms: 3t + t = 4t -2 + 4t = 30 + -1t + t Combine like terms: -1t + t = 0 -2 + 4t = 30 + 0 -2 + 4t = 30 Add '2' to each side of the equation. -2 + 2 + 4t = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 4t = 30 + 2 4t = 30 + 2 Combine like terms: 30 + 2 = 32 4t = 32 Divide each side by '4'. t = 8 Simplifying t = 8
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