4r+6s-3e+2r+5e-s=

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Solution for 4r+6s-3e+2r+5e-s= equation:


Simplifying
4r + 6s + -3e + 2r + 5e + -1s = 0

Reorder the terms:
-3e + 5e + 4r + 2r + 6s + -1s = 0

Combine like terms: -3e + 5e = 2e
2e + 4r + 2r + 6s + -1s = 0

Combine like terms: 4r + 2r = 6r
2e + 6r + 6s + -1s = 0

Combine like terms: 6s + -1s = 5s
2e + 6r + 5s = 0

Solving
2e + 6r + 5s = 0

Solving for variable 'e'.

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

Add '-6r' to each side of the equation.
2e + 6r + -6r + 5s = 0 + -6r

Combine like terms: 6r + -6r = 0
2e + 0 + 5s = 0 + -6r
2e + 5s = 0 + -6r
Remove the zero:
2e + 5s = -6r

Add '-5s' to each side of the equation.
2e + 5s + -5s = -6r + -5s

Combine like terms: 5s + -5s = 0
2e + 0 = -6r + -5s
2e = -6r + -5s

Divide each side by '2'.
e = -3r + -2.5s

Simplifying
e = -3r + -2.5s

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