(6r+3e-2d)+(3r-5e+3r)-(-5r+4e-8d)=

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Solution for (6r+3e-2d)+(3r-5e+3r)-(-5r+4e-8d)= equation: 


Simplifying
(6r + 3e + -2d) + (3r + -5e + 3r) + -1(-5r + 4e + -8d) = 0

Reorder the terms:
(-2d + 3e + 6r) + (3r + -5e + 3r) + -1(-5r + 4e + -8d) = 0

Remove parenthesis around (-2d + 3e + 6r)
-2d + 3e + 6r + (3r + -5e + 3r) + -1(-5r + 4e + -8d) = 0

Reorder the terms:
-2d + 3e + 6r + (-5e + 3r + 3r) + -1(-5r + 4e + -8d) = 0

Combine like terms: 3r + 3r = 6r
-2d + 3e + 6r + (-5e + 6r) + -1(-5r + 4e + -8d) = 0

Remove parenthesis around (-5e + 6r)
-2d + 3e + 6r + -5e + 6r + -1(-5r + 4e + -8d) = 0

Reorder the terms:
-2d + 3e + 6r + -5e + 6r + -1(-8d + 4e + -5r) = 0
-2d + 3e + 6r + -5e + 6r + (-8d * -1 + 4e * -1 + -5r * -1) = 0
-2d + 3e + 6r + -5e + 6r + (8d + -4e + 5r) = 0

Reorder the terms:
-2d + 8d + 3e + -5e + -4e + 6r + 6r + 5r = 0

Combine like terms: -2d + 8d = 6d
6d + 3e + -5e + -4e + 6r + 6r + 5r = 0

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

Combine like terms: -2e + -4e = -6e
6d + -6e + 6r + 6r + 5r = 0

Combine like terms: 6r + 6r = 12r
6d + -6e + 12r + 5r = 0

Combine like terms: 12r + 5r = 17r
6d + -6e + 17r = 0

Solving
6d + -6e + 17r = 0

Solving for variable 'd'.

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

Add '6e' to each side of the equation.
6d + -6e + 6e + 17r = 0 + 6e

Combine like terms: -6e + 6e = 0
6d + 0 + 17r = 0 + 6e
6d + 17r = 0 + 6e
Remove the zero:
6d + 17r = 6e

Add '-17r' to each side of the equation.
6d + 17r + -17r = 6e + -17r

Combine like terms: 17r + -17r = 0
6d + 0 = 6e + -17r
6d = 6e + -17r

Divide each side by '6'.
d = e + -2.833333333r

Simplifying
d = e + -2.833333333r

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