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Simplifying 7t + -22 = 5t + 8 Reorder the terms: -22 + 7t = 5t + 8 Reorder the terms: -22 + 7t = 8 + 5t Solving -22 + 7t = 8 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -22 + 7t + -5t = 8 + 5t + -5t Combine like terms: 7t + -5t = 2t -22 + 2t = 8 + 5t + -5t Combine like terms: 5t + -5t = 0 -22 + 2t = 8 + 0 -22 + 2t = 8 Add '22' to each side of the equation. -22 + 22 + 2t = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 2t = 8 + 22 2t = 8 + 22 Combine like terms: 8 + 22 = 30 2t = 30 Divide each side by '2'. t = 15 Simplifying t = 15
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