8-3(2b+1)=7-3b+13

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Solution for 8-3(2b+1)=7-3b+13 equation: 


Simplifying
8 + -3(2b + 1) = 7 + -3b + 13

Reorder the terms:
8 + -3(1 + 2b) = 7 + -3b + 13
8 + (1 * -3 + 2b * -3) = 7 + -3b + 13
8 + (-3 + -6b) = 7 + -3b + 13

Combine like terms: 8 + -3 = 5
5 + -6b = 7 + -3b + 13

Reorder the terms:
5 + -6b = 7 + 13 + -3b

Combine like terms: 7 + 13 = 20
5 + -6b = 20 + -3b

Solving
5 + -6b = 20 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
5 + -6b + 3b = 20 + -3b + 3b

Combine like terms: -6b + 3b = -3b
5 + -3b = 20 + -3b + 3b

Combine like terms: -3b + 3b = 0
5 + -3b = 20 + 0
5 + -3b = 20

Add '-5' to each side of the equation.
5 + -5 + -3b = 20 + -5

Combine like terms: 5 + -5 = 0
0 + -3b = 20 + -5
-3b = 20 + -5

Combine like terms: 20 + -5 = 15
-3b = 15

Divide each side by '-3'.
b = -5

Simplifying
b = -5

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