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Simplifying -396 = -1k + -7(7k + 6) Reorder the terms: -396 = -1k + -7(6 + 7k) -396 = -1k + (6 * -7 + 7k * -7) -396 = -1k + (-42 + -49k) Reorder the terms: -396 = -42 + -1k + -49k Combine like terms: -1k + -49k = -50k -396 = -42 + -50k Solving -396 = -42 + -50k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '50k' to each side of the equation. -396 + 50k = -42 + -50k + 50k Combine like terms: -50k + 50k = 0 -396 + 50k = -42 + 0 -396 + 50k = -42 Add '396' to each side of the equation. -396 + 396 + 50k = -42 + 396 Combine like terms: -396 + 396 = 0 0 + 50k = -42 + 396 50k = -42 + 396 Combine like terms: -42 + 396 = 354 50k = 354 Divide each side by '50'. k = 7.08 Simplifying k = 7.08
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