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Simplifying 19 + 7k = -5k + -7(8k + 7) Reorder the terms: 19 + 7k = -5k + -7(7 + 8k) 19 + 7k = -5k + (7 * -7 + 8k * -7) 19 + 7k = -5k + (-49 + -56k) Reorder the terms: 19 + 7k = -49 + -5k + -56k Combine like terms: -5k + -56k = -61k 19 + 7k = -49 + -61k Solving 19 + 7k = -49 + -61k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '61k' to each side of the equation. 19 + 7k + 61k = -49 + -61k + 61k Combine like terms: 7k + 61k = 68k 19 + 68k = -49 + -61k + 61k Combine like terms: -61k + 61k = 0 19 + 68k = -49 + 0 19 + 68k = -49 Add '-19' to each side of the equation. 19 + -19 + 68k = -49 + -19 Combine like terms: 19 + -19 = 0 0 + 68k = -49 + -19 68k = -49 + -19 Combine like terms: -49 + -19 = -68 68k = -68 Divide each side by '68'. k = -1 Simplifying k = -1
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