23b+70=40b-100

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Solution for 23b+70=40b-100 equation:


Simplifying
23b + 70 = 40b + -100

Reorder the terms:
70 + 23b = 40b + -100

Reorder the terms:
70 + 23b = -100 + 40b

Solving
70 + 23b = -100 + 40b

Solving for variable 'b'.

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

Add '-40b' to each side of the equation.
70 + 23b + -40b = -100 + 40b + -40b

Combine like terms: 23b + -40b = -17b
70 + -17b = -100 + 40b + -40b

Combine like terms: 40b + -40b = 0
70 + -17b = -100 + 0
70 + -17b = -100

Add '-70' to each side of the equation.
70 + -70 + -17b = -100 + -70

Combine like terms: 70 + -70 = 0
0 + -17b = -100 + -70
-17b = -100 + -70

Combine like terms: -100 + -70 = -170
-17b = -170

Divide each side by '-17'.
b = 10

Simplifying
b = 10

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