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Simplifying k + 8k + -16 = 3(k + -4) + 8 Reorder the terms: -16 + k + 8k = 3(k + -4) + 8 Combine like terms: k + 8k = 9k -16 + 9k = 3(k + -4) + 8 Reorder the terms: -16 + 9k = 3(-4 + k) + 8 -16 + 9k = (-4 * 3 + k * 3) + 8 -16 + 9k = (-12 + 3k) + 8 Reorder the terms: -16 + 9k = -12 + 8 + 3k Combine like terms: -12 + 8 = -4 -16 + 9k = -4 + 3k Solving -16 + 9k = -4 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -16 + 9k + -3k = -4 + 3k + -3k Combine like terms: 9k + -3k = 6k -16 + 6k = -4 + 3k + -3k Combine like terms: 3k + -3k = 0 -16 + 6k = -4 + 0 -16 + 6k = -4 Add '16' to each side of the equation. -16 + 16 + 6k = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 6k = -4 + 16 6k = -4 + 16 Combine like terms: -4 + 16 = 12 6k = 12 Divide each side by '6'. k = 2 Simplifying k = 2
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