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Simplifying 7k + -4(3 + 8k) = -212 7k + (3 * -4 + 8k * -4) = -212 7k + (-12 + -32k) = -212 Reorder the terms: -12 + 7k + -32k = -212 Combine like terms: 7k + -32k = -25k -12 + -25k = -212 Solving -12 + -25k = -212 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -25k = -212 + 12 Combine like terms: -12 + 12 = 0 0 + -25k = -212 + 12 -25k = -212 + 12 Combine like terms: -212 + 12 = -200 -25k = -200 Divide each side by '-25'. k = 8 Simplifying k = 8
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