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Simplifying 6(2p + 3q + -4k) = 0 Reorder the terms: 6(-4k + 2p + 3q) = 0 (-4k * 6 + 2p * 6 + 3q * 6) = 0 (-24k + 12p + 18q) = 0 Solving -24k + 12p + 18q = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12p' to each side of the equation. -24k + 12p + -12p + 18q = 0 + -12p Combine like terms: 12p + -12p = 0 -24k + 0 + 18q = 0 + -12p -24k + 18q = 0 + -12p Remove the zero: -24k + 18q = -12p Add '-18q' to each side of the equation. -24k + 18q + -18q = -12p + -18q Combine like terms: 18q + -18q = 0 -24k + 0 = -12p + -18q -24k = -12p + -18q Divide each side by '-24'. k = 0.5p + 0.75q Simplifying k = 0.5p + 0.75q
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