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Simplifying 4t + -71 = 2t + -27 Reorder the terms: -71 + 4t = 2t + -27 Reorder the terms: -71 + 4t = -27 + 2t Solving -71 + 4t = -27 + 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. -71 + 4t + -2t = -27 + 2t + -2t Combine like terms: 4t + -2t = 2t -71 + 2t = -27 + 2t + -2t Combine like terms: 2t + -2t = 0 -71 + 2t = -27 + 0 -71 + 2t = -27 Add '71' to each side of the equation. -71 + 71 + 2t = -27 + 71 Combine like terms: -71 + 71 = 0 0 + 2t = -27 + 71 2t = -27 + 71 Combine like terms: -27 + 71 = 44 2t = 44 Divide each side by '2'. t = 22 Simplifying t = 22
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