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Simplifying 4t + -41 = 2t + 7 Reorder the terms: -41 + 4t = 2t + 7 Reorder the terms: -41 + 4t = 7 + 2t Solving -41 + 4t = 7 + 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. -41 + 4t + -2t = 7 + 2t + -2t Combine like terms: 4t + -2t = 2t -41 + 2t = 7 + 2t + -2t Combine like terms: 2t + -2t = 0 -41 + 2t = 7 + 0 -41 + 2t = 7 Add '41' to each side of the equation. -41 + 41 + 2t = 7 + 41 Combine like terms: -41 + 41 = 0 0 + 2t = 7 + 41 2t = 7 + 41 Combine like terms: 7 + 41 = 48 2t = 48 Divide each side by '2'. t = 24 Simplifying t = 24
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