(22b-9)-7(3b+1)=-7

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Solution for (22b-9)-7(3b+1)=-7 equation:


Simplifying
(22b + -9) + -7(3b + 1) = -7

Reorder the terms:
(-9 + 22b) + -7(3b + 1) = -7

Remove parenthesis around (-9 + 22b)
-9 + 22b + -7(3b + 1) = -7

Reorder the terms:
-9 + 22b + -7(1 + 3b) = -7
-9 + 22b + (1 * -7 + 3b * -7) = -7
-9 + 22b + (-7 + -21b) = -7

Reorder the terms:
-9 + -7 + 22b + -21b = -7

Combine like terms: -9 + -7 = -16
-16 + 22b + -21b = -7

Combine like terms: 22b + -21b = 1b
-16 + 1b = -7

Solving
-16 + 1b = -7

Solving for variable 'b'.

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

Add '16' to each side of the equation.
-16 + 16 + 1b = -7 + 16

Combine like terms: -16 + 16 = 0
0 + 1b = -7 + 16
1b = -7 + 16

Combine like terms: -7 + 16 = 9
1b = 9

Divide each side by '1'.
b = 9

Simplifying
b = 9

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