4(1-6b)=-10(-2b+40)

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Solution for 4(1-6b)=-10(-2b+40) equation: 


Simplifying
4(1 + -6b) = -10(-2b + 40)
(1 * 4 + -6b * 4) = -10(-2b + 40)
(4 + -24b) = -10(-2b + 40)

Reorder the terms:
4 + -24b = -10(40 + -2b)
4 + -24b = (40 * -10 + -2b * -10)
4 + -24b = (-400 + 20b)

Solving
4 + -24b = -400 + 20b

Solving for variable 'b'.

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

Add '-20b' to each side of the equation.
4 + -24b + -20b = -400 + 20b + -20b

Combine like terms: -24b + -20b = -44b
4 + -44b = -400 + 20b + -20b

Combine like terms: 20b + -20b = 0
4 + -44b = -400 + 0
4 + -44b = -400

Add '-4' to each side of the equation.
4 + -4 + -44b = -400 + -4

Combine like terms: 4 + -4 = 0
0 + -44b = -400 + -4
-44b = -400 + -4

Combine like terms: -400 + -4 = -404
-44b = -404

Divide each side by '-44'.
b = 9.181818182

Simplifying
b = 9.181818182

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