2(b-4)-3(5b+4)=-33

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Solution for 2(b-4)-3(5b+4)=-33 equation: 


Simplifying
2(b + -4) + -3(5b + 4) = -33

Reorder the terms:
2(-4 + b) + -3(5b + 4) = -33
(-4 * 2 + b * 2) + -3(5b + 4) = -33
(-8 + 2b) + -3(5b + 4) = -33

Reorder the terms:
-8 + 2b + -3(4 + 5b) = -33
-8 + 2b + (4 * -3 + 5b * -3) = -33
-8 + 2b + (-12 + -15b) = -33

Reorder the terms:
-8 + -12 + 2b + -15b = -33

Combine like terms: -8 + -12 = -20
-20 + 2b + -15b = -33

Combine like terms: 2b + -15b = -13b
-20 + -13b = -33

Solving
-20 + -13b = -33

Solving for variable 'b'.

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

Add '20' to each side of the equation.
-20 + 20 + -13b = -33 + 20

Combine like terms: -20 + 20 = 0
0 + -13b = -33 + 20
-13b = -33 + 20

Combine like terms: -33 + 20 = -13
-13b = -13

Divide each side by '-13'.
b = 1

Simplifying
b = 1

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