36-b=-6(b-4)-3

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Solution for 36-b=-6(b-4)-3 equation:


Simplifying
36 + -1b = -6(b + -4) + -3

Reorder the terms:
36 + -1b = -6(-4 + b) + -3
36 + -1b = (-4 * -6 + b * -6) + -3
36 + -1b = (24 + -6b) + -3

Reorder the terms:
36 + -1b = 24 + -3 + -6b

Combine like terms: 24 + -3 = 21
36 + -1b = 21 + -6b

Solving
36 + -1b = 21 + -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.
36 + -1b + 6b = 21 + -6b + 6b

Combine like terms: -1b + 6b = 5b
36 + 5b = 21 + -6b + 6b

Combine like terms: -6b + 6b = 0
36 + 5b = 21 + 0
36 + 5b = 21

Add '-36' to each side of the equation.
36 + -36 + 5b = 21 + -36

Combine like terms: 36 + -36 = 0
0 + 5b = 21 + -36
5b = 21 + -36

Combine like terms: 21 + -36 = -15
5b = -15

Divide each side by '5'.
b = -3

Simplifying
b = -3

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