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Simplifying -6k + -16 = -4(4 + -4k) + -8k Reorder the terms: -16 + -6k = -4(4 + -4k) + -8k -16 + -6k = (4 * -4 + -4k * -4) + -8k -16 + -6k = (-16 + 16k) + -8k Combine like terms: 16k + -8k = 8k -16 + -6k = -16 + 8k Add '16' to each side of the equation. -16 + 16 + -6k = -16 + 16 + 8k Combine like terms: -16 + 16 = 0 0 + -6k = -16 + 16 + 8k -6k = -16 + 16 + 8k Combine like terms: -16 + 16 = 0 -6k = 0 + 8k -6k = 8k Solving -6k = 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. -6k + -8k = 8k + -8k Combine like terms: -6k + -8k = -14k -14k = 8k + -8k Combine like terms: 8k + -8k = 0 -14k = 0 Divide each side by '-14'. k = 0 Simplifying k = 0
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