13b+2=17b+20-b

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Solution for 13b+2=17b+20-b equation:


Simplifying
13b + 2 = 17b + 20 + -1b

Reorder the terms:
2 + 13b = 17b + 20 + -1b

Reorder the terms:
2 + 13b = 20 + 17b + -1b

Combine like terms: 17b + -1b = 16b
2 + 13b = 20 + 16b

Solving
2 + 13b = 20 + 16b

Solving for variable 'b'.

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

Add '-16b' to each side of the equation.
2 + 13b + -16b = 20 + 16b + -16b

Combine like terms: 13b + -16b = -3b
2 + -3b = 20 + 16b + -16b

Combine like terms: 16b + -16b = 0
2 + -3b = 20 + 0
2 + -3b = 20

Add '-2' to each side of the equation.
2 + -2 + -3b = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -3b = 20 + -2
-3b = 20 + -2

Combine like terms: 20 + -2 = 18
-3b = 18

Divide each side by '-3'.
b = -6

Simplifying
b = -6

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