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Simplifying 4t + 38 = 2t + 22 Reorder the terms: 38 + 4t = 2t + 22 Reorder the terms: 38 + 4t = 22 + 2t Solving 38 + 4t = 22 + 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. 38 + 4t + -2t = 22 + 2t + -2t Combine like terms: 4t + -2t = 2t 38 + 2t = 22 + 2t + -2t Combine like terms: 2t + -2t = 0 38 + 2t = 22 + 0 38 + 2t = 22 Add '-38' to each side of the equation. 38 + -38 + 2t = 22 + -38 Combine like terms: 38 + -38 = 0 0 + 2t = 22 + -38 2t = 22 + -38 Combine like terms: 22 + -38 = -16 2t = -16 Divide each side by '2'. t = -8 Simplifying t = -8
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