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Simplifying -4(2k + 8) = -8(4k + 7) Reorder the terms: -4(8 + 2k) = -8(4k + 7) (8 * -4 + 2k * -4) = -8(4k + 7) (-32 + -8k) = -8(4k + 7) Reorder the terms: -32 + -8k = -8(7 + 4k) -32 + -8k = (7 * -8 + 4k * -8) -32 + -8k = (-56 + -32k) Solving -32 + -8k = -56 + -32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32k' to each side of the equation. -32 + -8k + 32k = -56 + -32k + 32k Combine like terms: -8k + 32k = 24k -32 + 24k = -56 + -32k + 32k Combine like terms: -32k + 32k = 0 -32 + 24k = -56 + 0 -32 + 24k = -56 Add '32' to each side of the equation. -32 + 32 + 24k = -56 + 32 Combine like terms: -32 + 32 = 0 0 + 24k = -56 + 32 24k = -56 + 32 Combine like terms: -56 + 32 = -24 24k = -24 Divide each side by '24'. k = -1 Simplifying k = -1
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