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Simplifying -19 = 7 + 8k + 6 Reorder the terms: -19 = 7 + 6 + 8k Combine like terms: 7 + 6 = 13 -19 = 13 + 8k Solving -19 = 13 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -19 + -8k = 13 + 8k + -8k Combine like terms: 8k + -8k = 0 -19 + -8k = 13 + 0 -19 + -8k = 13 Add '19' to each side of the equation. -19 + 19 + -8k = 13 + 19 Combine like terms: -19 + 19 = 0 0 + -8k = 13 + 19 -8k = 13 + 19 Combine like terms: 13 + 19 = 32 -8k = 32 Divide each side by '-8'. k = -4 Simplifying k = -4
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