h(g+j)=k

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Solution for h(g+j)=k equation: 


Simplifying
h(g + j) = k
(g * h + j * h) = k
(gh + hj) = k

Solving
gh + hj = k

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-1hj' to each side of the equation.
gh + hj + -1hj = -1hj + k

Combine like terms: hj + -1hj = 0
gh + 0 = -1hj + k
gh = -1hj + k

Divide each side by 'h'.
g = -1j + h-1k

Simplifying
g = -1j + h-1k

Reorder the terms:
g = h-1k + -1j

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