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Simplifying -8(1 + -3k) = 8(2 + 2k) (1 * -8 + -3k * -8) = 8(2 + 2k) (-8 + 24k) = 8(2 + 2k) -8 + 24k = (2 * 8 + 2k * 8) -8 + 24k = (16 + 16k) Solving -8 + 24k = 16 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -8 + 24k + -16k = 16 + 16k + -16k Combine like terms: 24k + -16k = 8k -8 + 8k = 16 + 16k + -16k Combine like terms: 16k + -16k = 0 -8 + 8k = 16 + 0 -8 + 8k = 16 Add '8' to each side of the equation. -8 + 8 + 8k = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 8k = 16 + 8 8k = 16 + 8 Combine like terms: 16 + 8 = 24 8k = 24 Divide each side by '8'. k = 3 Simplifying k = 3
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