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Simplifying (k + -2) * 8 = k + -2 Reorder the terms: (-2 + k) * 8 = k + -2 Reorder the terms for easier multiplication: 8(-2 + k) = k + -2 (-2 * 8 + k * 8) = k + -2 (-16 + 8k) = k + -2 Reorder the terms: -16 + 8k = -2 + k Solving -16 + 8k = -2 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -16 + 8k + -1k = -2 + k + -1k Combine like terms: 8k + -1k = 7k -16 + 7k = -2 + k + -1k Combine like terms: k + -1k = 0 -16 + 7k = -2 + 0 -16 + 7k = -2 Add '16' to each side of the equation. -16 + 16 + 7k = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 7k = -2 + 16 7k = -2 + 16 Combine like terms: -2 + 16 = 14 7k = 14 Divide each side by '7'. k = 2 Simplifying k = 2
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