10(12.7-1.25b)+6b=106.2

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Solution for 10(12.7-1.25b)+6b=106.2 equation: 


Simplifying
10(12.7 + -1.25b) + 6b = 106.2
(12.7 * 10 + -1.25b * 10) + 6b = 106.2
(127 + -12.5b) + 6b = 106.2

Combine like terms: -12.5b + 6b = -6.5b
127 + -6.5b = 106.2

Solving
127 + -6.5b = 106.2

Solving for variable 'b'.

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

Add '-127' to each side of the equation.
127 + -127 + -6.5b = 106.2 + -127

Combine like terms: 127 + -127 = 0
0 + -6.5b = 106.2 + -127
-6.5b = 106.2 + -127

Combine like terms: 106.2 + -127 = -20.8
-6.5b = -20.8

Divide each side by '-6.5'.
b = 3.2

Simplifying
b = 3.2

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