(19b-5)-6(3b+4)=-7

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Solution for (19b-5)-6(3b+4)=-7 equation:


Simplifying
(19b + -5) + -6(3b + 4) = -7

Reorder the terms:
(-5 + 19b) + -6(3b + 4) = -7

Remove parenthesis around (-5 + 19b)
-5 + 19b + -6(3b + 4) = -7

Reorder the terms:
-5 + 19b + -6(4 + 3b) = -7
-5 + 19b + (4 * -6 + 3b * -6) = -7
-5 + 19b + (-24 + -18b) = -7

Reorder the terms:
-5 + -24 + 19b + -18b = -7

Combine like terms: -5 + -24 = -29
-29 + 19b + -18b = -7

Combine like terms: 19b + -18b = 1b
-29 + 1b = -7

Solving
-29 + 1b = -7

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 = -7 + 29

Combine like terms: -29 + 29 = 0
0 + 1b = -7 + 29
1b = -7 + 29

Combine like terms: -7 + 29 = 22
1b = 22

Divide each side by '1'.
b = 22

Simplifying
b = 22

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