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Simplifying -2k + -11 = -7k + 7(4k + 5) Reorder the terms: -11 + -2k = -7k + 7(4k + 5) Reorder the terms: -11 + -2k = -7k + 7(5 + 4k) -11 + -2k = -7k + (5 * 7 + 4k * 7) -11 + -2k = -7k + (35 + 28k) Reorder the terms: -11 + -2k = 35 + -7k + 28k Combine like terms: -7k + 28k = 21k -11 + -2k = 35 + 21k Solving -11 + -2k = 35 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. -11 + -2k + -21k = 35 + 21k + -21k Combine like terms: -2k + -21k = -23k -11 + -23k = 35 + 21k + -21k Combine like terms: 21k + -21k = 0 -11 + -23k = 35 + 0 -11 + -23k = 35 Add '11' to each side of the equation. -11 + 11 + -23k = 35 + 11 Combine like terms: -11 + 11 = 0 0 + -23k = 35 + 11 -23k = 35 + 11 Combine like terms: 35 + 11 = 46 -23k = 46 Divide each side by '-23'. k = -2 Simplifying k = -2
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