(19b-2)-9(2b+3)=-5

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Solution for (19b-2)-9(2b+3)=-5 equation:


Simplifying
(19b + -2) + -9(2b + 3) = -5

Reorder the terms:
(-2 + 19b) + -9(2b + 3) = -5

Remove parenthesis around (-2 + 19b)
-2 + 19b + -9(2b + 3) = -5

Reorder the terms:
-2 + 19b + -9(3 + 2b) = -5
-2 + 19b + (3 * -9 + 2b * -9) = -5
-2 + 19b + (-27 + -18b) = -5

Reorder the terms:
-2 + -27 + 19b + -18b = -5

Combine like terms: -2 + -27 = -29
-29 + 19b + -18b = -5

Combine like terms: 19b + -18b = 1b
-29 + 1b = -5

Solving
-29 + 1b = -5

Solving for variable 'b'.

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

Add '29' to each side of the equation.
-29 + 29 + 1b = -5 + 29

Combine like terms: -29 + 29 = 0
0 + 1b = -5 + 29
1b = -5 + 29

Combine like terms: -5 + 29 = 24
1b = 24

Divide each side by '1'.
b = 24

Simplifying
b = 24

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