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Simplifying 2t + 9 = 7t + -11 Reorder the terms: 9 + 2t = 7t + -11 Reorder the terms: 9 + 2t = -11 + 7t Solving 9 + 2t = -11 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 9 + 2t + -7t = -11 + 7t + -7t Combine like terms: 2t + -7t = -5t 9 + -5t = -11 + 7t + -7t Combine like terms: 7t + -7t = 0 9 + -5t = -11 + 0 9 + -5t = -11 Add '-9' to each side of the equation. 9 + -9 + -5t = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -5t = -11 + -9 -5t = -11 + -9 Combine like terms: -11 + -9 = -20 -5t = -20 Divide each side by '-5'. t = 4 Simplifying t = 4
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