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Simplifying -8k + -1(7k + 7) = -31 + -7k Reorder the terms: -8k + -1(7 + 7k) = -31 + -7k -8k + (7 * -1 + 7k * -1) = -31 + -7k -8k + (-7 + -7k) = -31 + -7k Reorder the terms: -7 + -8k + -7k = -31 + -7k Combine like terms: -8k + -7k = -15k -7 + -15k = -31 + -7k Solving -7 + -15k = -31 + -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. -7 + -15k + 7k = -31 + -7k + 7k Combine like terms: -15k + 7k = -8k -7 + -8k = -31 + -7k + 7k Combine like terms: -7k + 7k = 0 -7 + -8k = -31 + 0 -7 + -8k = -31 Add '7' to each side of the equation. -7 + 7 + -8k = -31 + 7 Combine like terms: -7 + 7 = 0 0 + -8k = -31 + 7 -8k = -31 + 7 Combine like terms: -31 + 7 = -24 -8k = -24 Divide each side by '-8'. k = 3 Simplifying k = 3
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