37+8b=7(b+7)-b

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Solution for 37+8b=7(b+7)-b equation:


Simplifying
37 + 8b = 7(b + 7) + -1b

Reorder the terms:
37 + 8b = 7(7 + b) + -1b
37 + 8b = (7 * 7 + b * 7) + -1b
37 + 8b = (49 + 7b) + -1b

Combine like terms: 7b + -1b = 6b
37 + 8b = 49 + 6b

Solving
37 + 8b = 49 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
37 + 8b + -6b = 49 + 6b + -6b

Combine like terms: 8b + -6b = 2b
37 + 2b = 49 + 6b + -6b

Combine like terms: 6b + -6b = 0
37 + 2b = 49 + 0
37 + 2b = 49

Add '-37' to each side of the equation.
37 + -37 + 2b = 49 + -37

Combine like terms: 37 + -37 = 0
0 + 2b = 49 + -37
2b = 49 + -37

Combine like terms: 49 + -37 = 12
2b = 12

Divide each side by '2'.
b = 6

Simplifying
b = 6

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