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

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


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

Reorder the terms:
60 + -75b = 64 + 10 + -96b

Combine like terms: 64 + 10 = 74
60 + -75b = 74 + -96b

Solving
60 + -75b = 74 + -96b

Solving for variable 'b'.

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

Add '96b' to each side of the equation.
60 + -75b + 96b = 74 + -96b + 96b

Combine like terms: -75b + 96b = 21b
60 + 21b = 74 + -96b + 96b

Combine like terms: -96b + 96b = 0
60 + 21b = 74 + 0
60 + 21b = 74

Add '-60' to each side of the equation.
60 + -60 + 21b = 74 + -60

Combine like terms: 60 + -60 = 0
0 + 21b = 74 + -60
21b = 74 + -60

Combine like terms: 74 + -60 = 14
21b = 14

Divide each side by '21'.
b = 0.6666666667

Simplifying
b = 0.6666666667

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