(22b-4)-7(3b+4)=-6

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Solution for (22b-4)-7(3b+4)=-6 equation:


Simplifying
(22b + -4) + -7(3b + 4) = -6

Reorder the terms:
(-4 + 22b) + -7(3b + 4) = -6

Remove parenthesis around (-4 + 22b)
-4 + 22b + -7(3b + 4) = -6

Reorder the terms:
-4 + 22b + -7(4 + 3b) = -6
-4 + 22b + (4 * -7 + 3b * -7) = -6
-4 + 22b + (-28 + -21b) = -6

Reorder the terms:
-4 + -28 + 22b + -21b = -6

Combine like terms: -4 + -28 = -32
-32 + 22b + -21b = -6

Combine like terms: 22b + -21b = 1b
-32 + 1b = -6

Solving
-32 + 1b = -6

Solving for variable 'b'.

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

Add '32' to each side of the equation.
-32 + 32 + 1b = -6 + 32

Combine like terms: -32 + 32 = 0
0 + 1b = -6 + 32
1b = -6 + 32

Combine like terms: -6 + 32 = 26
1b = 26

Divide each side by '1'.
b = 26

Simplifying
b = 26

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