3b+16=10b-40

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Solution for 3b+16=10b-40 equation:


Simplifying
3b + 16 = 10b + -40

Reorder the terms:
16 + 3b = 10b + -40

Reorder the terms:
16 + 3b = -40 + 10b

Solving
16 + 3b = -40 + 10b

Solving for variable 'b'.

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

Add '-10b' to each side of the equation.
16 + 3b + -10b = -40 + 10b + -10b

Combine like terms: 3b + -10b = -7b
16 + -7b = -40 + 10b + -10b

Combine like terms: 10b + -10b = 0
16 + -7b = -40 + 0
16 + -7b = -40

Add '-16' to each side of the equation.
16 + -16 + -7b = -40 + -16

Combine like terms: 16 + -16 = 0
0 + -7b = -40 + -16
-7b = -40 + -16

Combine like terms: -40 + -16 = -56
-7b = -56

Divide each side by '-7'.
b = 8

Simplifying
b = 8

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