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Simplifying 21 + 7k = -5(8k + 4) Reorder the terms: 21 + 7k = -5(4 + 8k) 21 + 7k = (4 * -5 + 8k * -5) 21 + 7k = (-20 + -40k) Solving 21 + 7k = -20 + -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. 21 + 7k + 40k = -20 + -40k + 40k Combine like terms: 7k + 40k = 47k 21 + 47k = -20 + -40k + 40k Combine like terms: -40k + 40k = 0 21 + 47k = -20 + 0 21 + 47k = -20 Add '-21' to each side of the equation. 21 + -21 + 47k = -20 + -21 Combine like terms: 21 + -21 = 0 0 + 47k = -20 + -21 47k = -20 + -21 Combine like terms: -20 + -21 = -41 47k = -41 Divide each side by '47'. k = -0.8723404255 Simplifying k = -0.8723404255
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