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