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Simplifying -4(8 + 4k) = 3(-8k + -16) (8 * -4 + 4k * -4) = 3(-8k + -16) (-32 + -16k) = 3(-8k + -16) Reorder the terms: -32 + -16k = 3(-16 + -8k) -32 + -16k = (-16 * 3 + -8k * 3) -32 + -16k = (-48 + -24k) Solving -32 + -16k = -48 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -32 + -16k + 24k = -48 + -24k + 24k Combine like terms: -16k + 24k = 8k -32 + 8k = -48 + -24k + 24k Combine like terms: -24k + 24k = 0 -32 + 8k = -48 + 0 -32 + 8k = -48 Add '32' to each side of the equation. -32 + 32 + 8k = -48 + 32 Combine like terms: -32 + 32 = 0 0 + 8k = -48 + 32 8k = -48 + 32 Combine like terms: -48 + 32 = -16 8k = -16 Divide each side by '8'. k = -2 Simplifying k = -2
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