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Simplifying -6 + -8(k + 6) = -86 Reorder the terms: -6 + -8(6 + k) = -86 -6 + (6 * -8 + k * -8) = -86 -6 + (-48 + -8k) = -86 Combine like terms: -6 + -48 = -54 -54 + -8k = -86 Solving -54 + -8k = -86 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -8k = -86 + 54 Combine like terms: -54 + 54 = 0 0 + -8k = -86 + 54 -8k = -86 + 54 Combine like terms: -86 + 54 = -32 -8k = -32 Divide each side by '-8'. k = 4 Simplifying k = 4
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