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Simplifying 4t + -7 = 2t + 17 Reorder the terms: -7 + 4t = 2t + 17 Reorder the terms: -7 + 4t = 17 + 2t Solving -7 + 4t = 17 + 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. -7 + 4t + -2t = 17 + 2t + -2t Combine like terms: 4t + -2t = 2t -7 + 2t = 17 + 2t + -2t Combine like terms: 2t + -2t = 0 -7 + 2t = 17 + 0 -7 + 2t = 17 Add '7' to each side of the equation. -7 + 7 + 2t = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 2t = 17 + 7 2t = 17 + 7 Combine like terms: 17 + 7 = 24 2t = 24 Divide each side by '2'. t = 12 Simplifying t = 12
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