3(b+3)-4(-2+b)=19

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Solution for 3(b+3)-4(-2+b)=19 equation: 


Simplifying
3(b + 3) + -4(-2 + b) = 19

Reorder the terms:
3(3 + b) + -4(-2 + b) = 19
(3 * 3 + b * 3) + -4(-2 + b) = 19
(9 + 3b) + -4(-2 + b) = 19
9 + 3b + (-2 * -4 + b * -4) = 19
9 + 3b + (8 + -4b) = 19

Reorder the terms:
9 + 8 + 3b + -4b = 19

Combine like terms: 9 + 8 = 17
17 + 3b + -4b = 19

Combine like terms: 3b + -4b = -1b
17 + -1b = 19

Solving
17 + -1b = 19

Solving for variable 'b'.

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

Add '-17' to each side of the equation.
17 + -17 + -1b = 19 + -17

Combine like terms: 17 + -17 = 0
0 + -1b = 19 + -17
-1b = 19 + -17

Combine like terms: 19 + -17 = 2
-1b = 2

Divide each side by '-1'.
b = -2

Simplifying
b = -2

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