3(4b+6)+7(5b-8)=-38

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Solution for 3(4b+6)+7(5b-8)=-38 equation: 


Simplifying
3(4b + 6) + 7(5b + -8) = -38

Reorder the terms:
3(6 + 4b) + 7(5b + -8) = -38
(6 * 3 + 4b * 3) + 7(5b + -8) = -38
(18 + 12b) + 7(5b + -8) = -38

Reorder the terms:
18 + 12b + 7(-8 + 5b) = -38
18 + 12b + (-8 * 7 + 5b * 7) = -38
18 + 12b + (-56 + 35b) = -38

Reorder the terms:
18 + -56 + 12b + 35b = -38

Combine like terms: 18 + -56 = -38
-38 + 12b + 35b = -38

Combine like terms: 12b + 35b = 47b
-38 + 47b = -38

Add '38' to each side of the equation.
-38 + 38 + 47b = -38 + 38

Combine like terms: -38 + 38 = 0
0 + 47b = -38 + 38
47b = -38 + 38

Combine like terms: -38 + 38 = 0
47b = 0

Solving
47b = 0

Solving for variable 'b'.

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

Divide each side by '47'.
b = 0

Simplifying
b = 0

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