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Simplifying -40 + -8k = -7(k + 6) Reorder the terms: -40 + -8k = -7(6 + k) -40 + -8k = (6 * -7 + k * -7) -40 + -8k = (-42 + -7k) Solving -40 + -8k = -42 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -40 + -8k + 7k = -42 + -7k + 7k Combine like terms: -8k + 7k = -1k -40 + -1k = -42 + -7k + 7k Combine like terms: -7k + 7k = 0 -40 + -1k = -42 + 0 -40 + -1k = -42 Add '40' to each side of the equation. -40 + 40 + -1k = -42 + 40 Combine like terms: -40 + 40 = 0 0 + -1k = -42 + 40 -1k = -42 + 40 Combine like terms: -42 + 40 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2
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