4b+2-b=4(b-6)+6

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


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

Reorder the terms:
2 + 4b + -1b = 4(b + -6) + 6

Combine like terms: 4b + -1b = 3b
2 + 3b = 4(b + -6) + 6

Reorder the terms:
2 + 3b = 4(-6 + b) + 6
2 + 3b = (-6 * 4 + b * 4) + 6
2 + 3b = (-24 + 4b) + 6

Reorder the terms:
2 + 3b = -24 + 6 + 4b

Combine like terms: -24 + 6 = -18
2 + 3b = -18 + 4b

Solving
2 + 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.
2 + 3b + -4b = -18 + 4b + -4b

Combine like terms: 3b + -4b = -1b
2 + -1b = -18 + 4b + -4b

Combine like terms: 4b + -4b = 0
2 + -1b = -18 + 0
2 + -1b = -18

Add '-2' to each side of the equation.
2 + -2 + -1b = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = -18 + -2
-1b = -18 + -2

Combine like terms: -18 + -2 = -20
-1b = -20

Divide each side by '-1'.
b = 20

Simplifying
b = 20

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