2(4-2e)-5=-2(e+5)+8r

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Solution for 2(4-2e)-5=-2(e+5)+8r equation:


Simplifying
2(4 + -2e) + -5 = -2(e + 5) + 8r
(4 * 2 + -2e * 2) + -5 = -2(e + 5) + 8r
(8 + -4e) + -5 = -2(e + 5) + 8r

Reorder the terms:
8 + -5 + -4e = -2(e + 5) + 8r

Combine like terms: 8 + -5 = 3
3 + -4e = -2(e + 5) + 8r

Reorder the terms:
3 + -4e = -2(5 + e) + 8r
3 + -4e = (5 * -2 + e * -2) + 8r
3 + -4e = (-10 + -2e) + 8r

Solving
3 + -4e = -10 + -2e + 8r

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.
3 + -4e + 2e = -10 + -2e + 2e + 8r

Combine like terms: -4e + 2e = -2e
3 + -2e = -10 + -2e + 2e + 8r

Combine like terms: -2e + 2e = 0
3 + -2e = -10 + 0 + 8r
3 + -2e = -10 + 8r

Add '-3' to each side of the equation.
3 + -3 + -2e = -10 + -3 + 8r

Combine like terms: 3 + -3 = 0
0 + -2e = -10 + -3 + 8r
-2e = -10 + -3 + 8r

Combine like terms: -10 + -3 = -13
-2e = -13 + 8r

Divide each side by '-2'.
e = 6.5 + -4r

Simplifying
e = 6.5 + -4r

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