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Simplifying -4k + -4(4k + 1) = -4 + -6k Reorder the terms: -4k + -4(1 + 4k) = -4 + -6k -4k + (1 * -4 + 4k * -4) = -4 + -6k -4k + (-4 + -16k) = -4 + -6k Reorder the terms: -4 + -4k + -16k = -4 + -6k Combine like terms: -4k + -16k = -20k -4 + -20k = -4 + -6k Add '4' to each side of the equation. -4 + 4 + -20k = -4 + 4 + -6k Combine like terms: -4 + 4 = 0 0 + -20k = -4 + 4 + -6k -20k = -4 + 4 + -6k Combine like terms: -4 + 4 = 0 -20k = 0 + -6k -20k = -6k Solving -20k = -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -20k + 6k = -6k + 6k Combine like terms: -20k + 6k = -14k -14k = -6k + 6k Combine like terms: -6k + 6k = 0 -14k = 0 Divide each side by '-14'. k = 0 Simplifying k = 0
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