9x-(-7b-5z)=z+(8b-9x)

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Solution for 9x-(-7b-5z)=z+(8b-9x) equation:


Simplifying
9x + -1(-7b + -5z) = z + (8b + -9x)
9x + (-7b * -1 + -5z * -1) = z + (8b + -9x)
9x + (7b + 5z) = z + (8b + -9x)

Reorder the terms:
7b + 9x + 5z = z + (8b + -9x)

Remove parenthesis around (8b + -9x)
7b + 9x + 5z = z + 8b + -9x

Reorder the terms:
7b + 9x + 5z = 8b + -9x + z

Solving
7b + 9x + 5z = 8b + -9x + z

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
7b + 9x + -8b + 5z = 8b + -9x + -8b + z

Reorder the terms:
7b + -8b + 9x + 5z = 8b + -9x + -8b + z

Combine like terms: 7b + -8b = -1b
-1b + 9x + 5z = 8b + -9x + -8b + z

Reorder the terms:
-1b + 9x + 5z = 8b + -8b + -9x + z

Combine like terms: 8b + -8b = 0
-1b + 9x + 5z = 0 + -9x + z
-1b + 9x + 5z = -9x + z

Add '-9x' to each side of the equation.
-1b + 9x + -9x + 5z = -9x + -9x + z

Combine like terms: 9x + -9x = 0
-1b + 0 + 5z = -9x + -9x + z
-1b + 5z = -9x + -9x + z

Combine like terms: -9x + -9x = -18x
-1b + 5z = -18x + z

Add '-5z' to each side of the equation.
-1b + 5z + -5z = -18x + z + -5z

Combine like terms: 5z + -5z = 0
-1b + 0 = -18x + z + -5z
-1b = -18x + z + -5z

Combine like terms: z + -5z = -4z
-1b = -18x + -4z

Divide each side by '-1'.
b = 18x + 4z

Simplifying
b = 18x + 4z

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