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Simplifying 4h + 6k + -3(4h + -2k) = 0 4h + 6k + (4h * -3 + -2k * -3) = 0 4h + 6k + (-12h + 6k) = 0 Reorder the terms: 4h + -12h + 6k + 6k = 0 Combine like terms: 4h + -12h = -8h -8h + 6k + 6k = 0 Combine like terms: 6k + 6k = 12k -8h + 12k = 0 Solving -8h + 12k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12k' to each side of the equation. -8h + 12k + -12k = 0 + -12k Combine like terms: 12k + -12k = 0 -8h + 0 = 0 + -12k -8h = 0 + -12k Remove the zero: -8h = -12k Divide each side by '-8'. h = 1.5k Simplifying h = 1.5k
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