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Simplifying 6h + 5j + -2(6h + 3k) = 0 6h + 5j + (6h * -2 + 3k * -2) = 0 6h + 5j + (-12h + -6k) = 0 Reorder the terms: 6h + -12h + 5j + -6k = 0 Combine like terms: 6h + -12h = -6h -6h + 5j + -6k = 0 Solving -6h + 5j + -6k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5j' to each side of the equation. -6h + 5j + -5j + -6k = 0 + -5j Combine like terms: 5j + -5j = 0 -6h + 0 + -6k = 0 + -5j -6h + -6k = 0 + -5j Remove the zero: -6h + -6k = -5j Add '6k' to each side of the equation. -6h + -6k + 6k = -5j + 6k Combine like terms: -6k + 6k = 0 -6h + 0 = -5j + 6k -6h = -5j + 6k Divide each side by '-6'. h = 0.8333333333j + -1k Simplifying h = 0.8333333333j + -1k
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