a-3(b+3c-d)-a=

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Solution for a-3(b+3c-d)-a= equation:


Simplifying
a + -3(b + 3c + -1d) + -1a = 0
a + (b * -3 + 3c * -3 + -1d * -3) + -1a = 0
a + (-3b + -9c + 3d) + -1a = 0

Reorder the terms:
a + -1a + -3b + -9c + 3d = 0

Combine like terms: a + -1a = 0
0 + -3b + -9c + 3d = 0
-3b + -9c + 3d = 0

Solving
-3b + -9c + 3d = 0

Solving for variable 'b'.

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

Add '9c' to each side of the equation.
-3b + -9c + 9c + 3d = 0 + 9c

Combine like terms: -9c + 9c = 0
-3b + 0 + 3d = 0 + 9c
-3b + 3d = 0 + 9c
Remove the zero:
-3b + 3d = 9c

Add '-3d' to each side of the equation.
-3b + 3d + -3d = 9c + -3d

Combine like terms: 3d + -3d = 0
-3b + 0 = 9c + -3d
-3b = 9c + -3d

Divide each side by '-3'.
b = -3c + d

Simplifying
b = -3c + d

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