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Simplifying -7k + -22 = -5(4 + -8k) + -2 Reorder the terms: -22 + -7k = -5(4 + -8k) + -2 -22 + -7k = (4 * -5 + -8k * -5) + -2 -22 + -7k = (-20 + 40k) + -2 Reorder the terms: -22 + -7k = -20 + -2 + 40k Combine like terms: -20 + -2 = -22 -22 + -7k = -22 + 40k Add '22' to each side of the equation. -22 + 22 + -7k = -22 + 22 + 40k Combine like terms: -22 + 22 = 0 0 + -7k = -22 + 22 + 40k -7k = -22 + 22 + 40k Combine like terms: -22 + 22 = 0 -7k = 0 + 40k -7k = 40k Solving -7k = 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. -7k + -40k = 40k + -40k Combine like terms: -7k + -40k = -47k -47k = 40k + -40k Combine like terms: 40k + -40k = 0 -47k = 0 Divide each side by '-47'. k = 0 Simplifying k = 0
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