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Simplifying 30 + 2t = 42 + -2t Solving 30 + 2t = 42 + -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. 30 + 2t + 2t = 42 + -2t + 2t Combine like terms: 2t + 2t = 4t 30 + 4t = 42 + -2t + 2t Combine like terms: -2t + 2t = 0 30 + 4t = 42 + 0 30 + 4t = 42 Add '-30' to each side of the equation. 30 + -30 + 4t = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 4t = 42 + -30 4t = 42 + -30 Combine like terms: 42 + -30 = 12 4t = 12 Divide each side by '4'. t = 3 Simplifying t = 3
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