3(b-3)-1=4b-16

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Solution for 3(b-3)-1=4b-16 equation: 


Simplifying
3(b + -3) + -1 = 4b + -16

Reorder the terms:
3(-3 + b) + -1 = 4b + -16
(-3 * 3 + b * 3) + -1 = 4b + -16
(-9 + 3b) + -1 = 4b + -16

Reorder the terms:
-9 + -1 + 3b = 4b + -16

Combine like terms: -9 + -1 = -10
-10 + 3b = 4b + -16

Reorder the terms:
-10 + 3b = -16 + 4b

Solving
-10 + 3b = -16 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
-10 + 3b + -4b = -16 + 4b + -4b

Combine like terms: 3b + -4b = -1b
-10 + -1b = -16 + 4b + -4b

Combine like terms: 4b + -4b = 0
-10 + -1b = -16 + 0
-10 + -1b = -16

Add '10' to each side of the equation.
-10 + 10 + -1b = -16 + 10

Combine like terms: -10 + 10 = 0
0 + -1b = -16 + 10
-1b = -16 + 10

Combine like terms: -16 + 10 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6

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