16-4(2b+1)=6b+(1-3b)

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Solution for 16-4(2b+1)=6b+(1-3b) equation: 


Simplifying
16 + -4(2b + 1) = 6b + (1 + -3b)

Reorder the terms:
16 + -4(1 + 2b) = 6b + (1 + -3b)
16 + (1 * -4 + 2b * -4) = 6b + (1 + -3b)
16 + (-4 + -8b) = 6b + (1 + -3b)

Combine like terms: 16 + -4 = 12
12 + -8b = 6b + (1 + -3b)

Remove parenthesis around (1 + -3b)
12 + -8b = 6b + 1 + -3b

Reorder the terms:
12 + -8b = 1 + 6b + -3b

Combine like terms: 6b + -3b = 3b
12 + -8b = 1 + 3b

Solving
12 + -8b = 1 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
12 + -8b + -3b = 1 + 3b + -3b

Combine like terms: -8b + -3b = -11b
12 + -11b = 1 + 3b + -3b

Combine like terms: 3b + -3b = 0
12 + -11b = 1 + 0
12 + -11b = 1

Add '-12' to each side of the equation.
12 + -12 + -11b = 1 + -12

Combine like terms: 12 + -12 = 0
0 + -11b = 1 + -12
-11b = 1 + -12

Combine like terms: 1 + -12 = -11
-11b = -11

Divide each side by '-11'.
b = 1

Simplifying
b = 1

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