2lw+e=hw+lw+hl+2e

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Solution for 2lw+e=hw+lw+hl+2e equation:


Simplifying
2lw + e = hw + lw + hl + 2e

Reorder the terms:
e + 2lw = hw + lw + hl + 2e

Reorder the terms:
e + 2lw = 2e + hl + hw + lw

Solving
e + 2lw = 2e + hl + hw + lw

Solving for variable 'e'.

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

Add '-2e' to each side of the equation.
e + -2e + 2lw = 2e + hl + hw + -2e + lw

Combine like terms: e + -2e = -1e
-1e + 2lw = 2e + hl + hw + -2e + lw

Reorder the terms:
-1e + 2lw = 2e + -2e + hl + hw + lw

Combine like terms: 2e + -2e = 0
-1e + 2lw = 0 + hl + hw + lw
-1e + 2lw = hl + hw + lw

Add '-2lw' to each side of the equation.
-1e + 2lw + -2lw = hl + hw + lw + -2lw

Combine like terms: 2lw + -2lw = 0
-1e + 0 = hl + hw + lw + -2lw
-1e = hl + hw + lw + -2lw

Combine like terms: lw + -2lw = -1lw
-1e = hl + hw + -1lw

Divide each side by '-1'.
e = -1hl + -1hw + lw

Simplifying
e = -1hl + -1hw + lw

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