15+3(4b-2z)=5z-2b

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Solution for 15+3(4b-2z)=5z-2b equation: 


Simplifying
15 + 3(4b + -2z) = 5z + -2b
15 + (4b * 3 + -2z * 3) = 5z + -2b
15 + (12b + -6z) = 5z + -2b

Reorder the terms:
15 + 12b + -6z = -2b + 5z

Solving
15 + 12b + -6z = -2b + 5z

Solving for variable 'b'.

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

Add '2b' to each side of the equation.
15 + 12b + 2b + -6z = -2b + 2b + 5z

Combine like terms: 12b + 2b = 14b
15 + 14b + -6z = -2b + 2b + 5z

Combine like terms: -2b + 2b = 0
15 + 14b + -6z = 0 + 5z
15 + 14b + -6z = 5z

Add '-15' to each side of the equation.
15 + 14b + -15 + -6z = -15 + 5z

Reorder the terms:
15 + -15 + 14b + -6z = -15 + 5z

Combine like terms: 15 + -15 = 0
0 + 14b + -6z = -15 + 5z
14b + -6z = -15 + 5z

Add '6z' to each side of the equation.
14b + -6z + 6z = -15 + 5z + 6z

Combine like terms: -6z + 6z = 0
14b + 0 = -15 + 5z + 6z
14b = -15 + 5z + 6z

Combine like terms: 5z + 6z = 11z
14b = -15 + 11z

Divide each side by '14'.
b = -1.071428571 + 0.7857142857z

Simplifying
b = -1.071428571 + 0.7857142857z

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