2a+b+20=36a+b+156

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Solution for 2a+b+20=36a+b+156 equation:


Simplifying
2a + b + 20 = 36a + b + 156

Reorder the terms:
20 + 2a + b = 36a + b + 156

Reorder the terms:
20 + 2a + b = 156 + 36a + b

Add '-1b' to each side of the equation.
20 + 2a + b + -1b = 156 + 36a + b + -1b

Combine like terms: b + -1b = 0
20 + 2a + 0 = 156 + 36a + b + -1b
20 + 2a = 156 + 36a + b + -1b

Combine like terms: b + -1b = 0
20 + 2a = 156 + 36a + 0
20 + 2a = 156 + 36a

Solving
20 + 2a = 156 + 36a

Solving for variable 'a'.

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

Add '-36a' to each side of the equation.
20 + 2a + -36a = 156 + 36a + -36a

Combine like terms: 2a + -36a = -34a
20 + -34a = 156 + 36a + -36a

Combine like terms: 36a + -36a = 0
20 + -34a = 156 + 0
20 + -34a = 156

Add '-20' to each side of the equation.
20 + -20 + -34a = 156 + -20

Combine like terms: 20 + -20 = 0
0 + -34a = 156 + -20
-34a = 156 + -20

Combine like terms: 156 + -20 = 136
-34a = 136

Divide each side by '-34'.
a = -4

Simplifying
a = -4

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