13b-8(b-2)=46

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Solution for 13b-8(b-2)=46 equation:


Simplifying
13b + -8(b + -2) = 46

Reorder the terms:
13b + -8(-2 + b) = 46
13b + (-2 * -8 + b * -8) = 46
13b + (16 + -8b) = 46

Reorder the terms:
16 + 13b + -8b = 46

Combine like terms: 13b + -8b = 5b
16 + 5b = 46

Solving
16 + 5b = 46

Solving for variable 'b'.

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

Add '-16' to each side of the equation.
16 + -16 + 5b = 46 + -16

Combine like terms: 16 + -16 = 0
0 + 5b = 46 + -16
5b = 46 + -16

Combine like terms: 46 + -16 = 30
5b = 30

Divide each side by '5'.
b = 6

Simplifying
b = 6

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