6(8b-10)=7(b-3)

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Solution for 6(8b-10)=7(b-3) equation:


Simplifying
6(8b + -10) = 7(b + -3)

Reorder the terms:
6(-10 + 8b) = 7(b + -3)
(-10 * 6 + 8b * 6) = 7(b + -3)
(-60 + 48b) = 7(b + -3)

Reorder the terms:
-60 + 48b = 7(-3 + b)
-60 + 48b = (-3 * 7 + b * 7)
-60 + 48b = (-21 + 7b)

Solving
-60 + 48b = -21 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
-60 + 48b + -7b = -21 + 7b + -7b

Combine like terms: 48b + -7b = 41b
-60 + 41b = -21 + 7b + -7b

Combine like terms: 7b + -7b = 0
-60 + 41b = -21 + 0
-60 + 41b = -21

Add '60' to each side of the equation.
-60 + 60 + 41b = -21 + 60

Combine like terms: -60 + 60 = 0
0 + 41b = -21 + 60
41b = -21 + 60

Combine like terms: -21 + 60 = 39
41b = 39

Divide each side by '41'.
b = 0.9512195122

Simplifying
b = 0.9512195122

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