(22b-8)-7(3b+1)=-2

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Solution for (22b-8)-7(3b+1)=-2 equation:


Simplifying
(22b + -8) + -7(3b + 1) = -2

Reorder the terms:
(-8 + 22b) + -7(3b + 1) = -2

Remove parenthesis around (-8 + 22b)
-8 + 22b + -7(3b + 1) = -2

Reorder the terms:
-8 + 22b + -7(1 + 3b) = -2
-8 + 22b + (1 * -7 + 3b * -7) = -2
-8 + 22b + (-7 + -21b) = -2

Reorder the terms:
-8 + -7 + 22b + -21b = -2

Combine like terms: -8 + -7 = -15
-15 + 22b + -21b = -2

Combine like terms: 22b + -21b = 1b
-15 + 1b = -2

Solving
-15 + 1b = -2

Solving for variable 'b'.

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

Add '15' to each side of the equation.
-15 + 15 + 1b = -2 + 15

Combine like terms: -15 + 15 = 0
0 + 1b = -2 + 15
1b = -2 + 15

Combine like terms: -2 + 15 = 13
1b = 13

Divide each side by '1'.
b = 13

Simplifying
b = 13

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