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Simplifying 7t + 19 = 2t + -22 Reorder the terms: 19 + 7t = 2t + -22 Reorder the terms: 19 + 7t = -22 + 2t Solving 19 + 7t = -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. 19 + 7t + -2t = -22 + 2t + -2t Combine like terms: 7t + -2t = 5t 19 + 5t = -22 + 2t + -2t Combine like terms: 2t + -2t = 0 19 + 5t = -22 + 0 19 + 5t = -22 Add '-19' to each side of the equation. 19 + -19 + 5t = -22 + -19 Combine like terms: 19 + -19 = 0 0 + 5t = -22 + -19 5t = -22 + -19 Combine like terms: -22 + -19 = -41 5t = -41 Divide each side by '5'. t = -8.2 Simplifying t = -8.2
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