15*(4-5*b)-(16*(4-6*b)+10)=0

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Solution for 15*(4-5*b)-(16*(4-6*b)+10)=0 equation: 


Simplifying
15(4 + -5b) + -1(16(4 + -6b) + 10) = 0
(4 * 15 + -5b * 15) + -1(16(4 + -6b) + 10) = 0
(60 + -75b) + -1(16(4 + -6b) + 10) = 0
60 + -75b + -1((4 * 16 + -6b * 16) + 10) = 0
60 + -75b + -1((64 + -96b) + 10) = 0

Reorder the terms:
60 + -75b + -1(64 + 10 + -96b) = 0

Combine like terms: 64 + 10 = 74
60 + -75b + -1(74 + -96b) = 0
60 + -75b + (74 * -1 + -96b * -1) = 0
60 + -75b + (-74 + 96b) = 0

Reorder the terms:
60 + -74 + -75b + 96b = 0

Combine like terms: 60 + -74 = -14
-14 + -75b + 96b = 0

Combine like terms: -75b + 96b = 21b
-14 + 21b = 0

Solving
-14 + 21b = 0

Solving for variable 'b'.

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

Add '14' to each side of the equation.
-14 + 14 + 21b = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 21b = 0 + 14
21b = 0 + 14

Combine like terms: 0 + 14 = 14
21b = 14

Divide each side by '21'.
b = 0.6666666667

Simplifying
b = 0.6666666667

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