(22b-3)-7(3b+4)=-5

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Solution for (22b-3)-7(3b+4)=-5 equation:


Simplifying
(22b + -3) + -7(3b + 4) = -5

Reorder the terms:
(-3 + 22b) + -7(3b + 4) = -5

Remove parenthesis around (-3 + 22b)
-3 + 22b + -7(3b + 4) = -5

Reorder the terms:
-3 + 22b + -7(4 + 3b) = -5
-3 + 22b + (4 * -7 + 3b * -7) = -5
-3 + 22b + (-28 + -21b) = -5

Reorder the terms:
-3 + -28 + 22b + -21b = -5

Combine like terms: -3 + -28 = -31
-31 + 22b + -21b = -5

Combine like terms: 22b + -21b = 1b
-31 + 1b = -5

Solving
-31 + 1b = -5

Solving for variable 'b'.

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

Add '31' to each side of the equation.
-31 + 31 + 1b = -5 + 31

Combine like terms: -31 + 31 = 0
0 + 1b = -5 + 31
1b = -5 + 31

Combine like terms: -5 + 31 = 26
1b = 26

Divide each side by '1'.
b = 26

Simplifying
b = 26

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