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Simplifying 11 + 5t = 7t + -17 Reorder the terms: 11 + 5t = -17 + 7t Solving 11 + 5t = -17 + 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. 11 + 5t + -7t = -17 + 7t + -7t Combine like terms: 5t + -7t = -2t 11 + -2t = -17 + 7t + -7t Combine like terms: 7t + -7t = 0 11 + -2t = -17 + 0 11 + -2t = -17 Add '-11' to each side of the equation. 11 + -11 + -2t = -17 + -11 Combine like terms: 11 + -11 = 0 0 + -2t = -17 + -11 -2t = -17 + -11 Combine like terms: -17 + -11 = -28 -2t = -28 Divide each side by '-2'. t = 14 Simplifying t = 14
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