(22b-2)-7(3b+1)=-6

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Solution for (22b-2)-7(3b+1)=-6 equation:


Simplifying
(22b + -2) + -7(3b + 1) = -6

Reorder the terms:
(-2 + 22b) + -7(3b + 1) = -6

Remove parenthesis around (-2 + 22b)
-2 + 22b + -7(3b + 1) = -6

Reorder the terms:
-2 + 22b + -7(1 + 3b) = -6
-2 + 22b + (1 * -7 + 3b * -7) = -6
-2 + 22b + (-7 + -21b) = -6

Reorder the terms:
-2 + -7 + 22b + -21b = -6

Combine like terms: -2 + -7 = -9
-9 + 22b + -21b = -6

Combine like terms: 22b + -21b = 1b
-9 + 1b = -6

Solving
-9 + 1b = -6

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 1b = -6 + 9

Combine like terms: -9 + 9 = 0
0 + 1b = -6 + 9
1b = -6 + 9

Combine like terms: -6 + 9 = 3
1b = 3

Divide each side by '1'.
b = 3

Simplifying
b = 3

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