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Simplifying -2(8k + 4) + 4 = -4(k + 4) Reorder the terms: -2(4 + 8k) + 4 = -4(k + 4) (4 * -2 + 8k * -2) + 4 = -4(k + 4) (-8 + -16k) + 4 = -4(k + 4) Reorder the terms: -8 + 4 + -16k = -4(k + 4) Combine like terms: -8 + 4 = -4 -4 + -16k = -4(k + 4) Reorder the terms: -4 + -16k = -4(4 + k) -4 + -16k = (4 * -4 + k * -4) -4 + -16k = (-16 + -4k) Solving -4 + -16k = -16 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -4 + -16k + 4k = -16 + -4k + 4k Combine like terms: -16k + 4k = -12k -4 + -12k = -16 + -4k + 4k Combine like terms: -4k + 4k = 0 -4 + -12k = -16 + 0 -4 + -12k = -16 Add '4' to each side of the equation. -4 + 4 + -12k = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -12k = -16 + 4 -12k = -16 + 4 Combine like terms: -16 + 4 = -12 -12k = -12 Divide each side by '-12'. k = 1 Simplifying k = 1
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