4b+3-b=4(b-5)+2

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Solution for 4b+3-b=4(b-5)+2 equation:


Simplifying
4b + 3 + -1b = 4(b + -5) + 2

Reorder the terms:
3 + 4b + -1b = 4(b + -5) + 2

Combine like terms: 4b + -1b = 3b
3 + 3b = 4(b + -5) + 2

Reorder the terms:
3 + 3b = 4(-5 + b) + 2
3 + 3b = (-5 * 4 + b * 4) + 2
3 + 3b = (-20 + 4b) + 2

Reorder the terms:
3 + 3b = -20 + 2 + 4b

Combine like terms: -20 + 2 = -18
3 + 3b = -18 + 4b

Solving
3 + 3b = -18 + 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.
3 + 3b + -4b = -18 + 4b + -4b

Combine like terms: 3b + -4b = -1b
3 + -1b = -18 + 4b + -4b

Combine like terms: 4b + -4b = 0
3 + -1b = -18 + 0
3 + -1b = -18

Add '-3' to each side of the equation.
3 + -3 + -1b = -18 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = -18 + -3
-1b = -18 + -3

Combine like terms: -18 + -3 = -21
-1b = -21

Divide each side by '-1'.
b = 21

Simplifying
b = 21

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