(ax+9)+(ax+9)+(4x+b)=20x+35

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Solution for (ax+9)+(ax+9)+(4x+b)=20x+35 equation: 


Simplifying
(ax + 9) + (ax + 9) + (4x + b) = 20x + 35

Reorder the terms:
(9 + ax) + (ax + 9) + (4x + b) = 20x + 35

Remove parenthesis around (9 + ax)
9 + ax + (ax + 9) + (4x + b) = 20x + 35

Reorder the terms:
9 + ax + (9 + ax) + (4x + b) = 20x + 35

Remove parenthesis around (9 + ax)
9 + ax + 9 + ax + (4x + b) = 20x + 35

Reorder the terms:
9 + ax + 9 + ax + (b + 4x) = 20x + 35

Remove parenthesis around (b + 4x)
9 + ax + 9 + ax + b + 4x = 20x + 35

Reorder the terms:
9 + 9 + ax + ax + b + 4x = 20x + 35

Combine like terms: 9 + 9 = 18
18 + ax + ax + b + 4x = 20x + 35

Combine like terms: ax + ax = 2ax
18 + 2ax + b + 4x = 20x + 35

Reorder the terms:
18 + 2ax + b + 4x = 35 + 20x

Solving
18 + 2ax + b + 4x = 35 + 20x

Solving for variable 'a'.

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

Add '-18' to each side of the equation.
18 + 2ax + b + -18 + 4x = 35 + -18 + 20x

Reorder the terms:
18 + -18 + 2ax + b + 4x = 35 + -18 + 20x

Combine like terms: 18 + -18 = 0
0 + 2ax + b + 4x = 35 + -18 + 20x
2ax + b + 4x = 35 + -18 + 20x

Combine like terms: 35 + -18 = 17
2ax + b + 4x = 17 + 20x

Add '-1b' to each side of the equation.
2ax + b + -1b + 4x = 17 + -1b + 20x

Combine like terms: b + -1b = 0
2ax + 0 + 4x = 17 + -1b + 20x
2ax + 4x = 17 + -1b + 20x

Add '-4x' to each side of the equation.
2ax + 4x + -4x = 17 + -1b + 20x + -4x

Combine like terms: 4x + -4x = 0
2ax + 0 = 17 + -1b + 20x + -4x
2ax = 17 + -1b + 20x + -4x

Combine like terms: 20x + -4x = 16x
2ax = 17 + -1b + 16x

Divide each side by '2x'.
a = 8.5x-1 + -0.5bx-1 + 8

Simplifying
a = 8.5x-1 + -0.5bx-1 + 8

Reorder the terms:
a = 8 + -0.5bx-1 + 8.5x-1

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