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Simplifying 3t + -12 = 30 + 2t Reorder the terms: -12 + 3t = 30 + 2t Solving -12 + 3t = 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. -12 + 3t + -2t = 30 + 2t + -2t Combine like terms: 3t + -2t = 1t -12 + 1t = 30 + 2t + -2t Combine like terms: 2t + -2t = 0 -12 + 1t = 30 + 0 -12 + 1t = 30 Add '12' to each side of the equation. -12 + 12 + 1t = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 1t = 30 + 12 1t = 30 + 12 Combine like terms: 30 + 12 = 42 1t = 42 Divide each side by '1'. t = 42 Simplifying t = 42
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