-21+8.43+(-1.4b+2)=-12b+38

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Solution for -21+8.43+(-1.4b+2)=-12b+38 equation: 


Simplifying
-21 + 8.43 + (-1.4b + 2) = -12b + 38

Reorder the terms:
-21 + 8.43 + (2 + -1.4b) = -12b + 38

Remove parenthesis around (2 + -1.4b)
-21 + 8.43 + 2 + -1.4b = -12b + 38

Combine like terms: -21 + 8.43 = -12.57
-12.57 + 2 + -1.4b = -12b + 38

Combine like terms: -12.57 + 2 = -10.57
-10.57 + -1.4b = -12b + 38

Reorder the terms:
-10.57 + -1.4b = 38 + -12b

Solving
-10.57 + -1.4b = 38 + -12b

Solving for variable 'b'.

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

Add '12b' to each side of the equation.
-10.57 + -1.4b + 12b = 38 + -12b + 12b

Combine like terms: -1.4b + 12b = 10.6b
-10.57 + 10.6b = 38 + -12b + 12b

Combine like terms: -12b + 12b = 0
-10.57 + 10.6b = 38 + 0
-10.57 + 10.6b = 38

Add '10.57' to each side of the equation.
-10.57 + 10.57 + 10.6b = 38 + 10.57

Combine like terms: -10.57 + 10.57 = 0.00
0.00 + 10.6b = 38 + 10.57
10.6b = 38 + 10.57

Combine like terms: 38 + 10.57 = 48.57
10.6b = 48.57

Divide each side by '10.6'.
b = 4.582075472

Simplifying
b = 4.582075472

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