-2(-5+4b)=-6b+8(b-5)

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Solution for -2(-5+4b)=-6b+8(b-5) equation:


Simplifying
-2(-5 + 4b) = -6b + 8(b + -5)
(-5 * -2 + 4b * -2) = -6b + 8(b + -5)
(10 + -8b) = -6b + 8(b + -5)

Reorder the terms:
10 + -8b = -6b + 8(-5 + b)
10 + -8b = -6b + (-5 * 8 + b * 8)
10 + -8b = -6b + (-40 + 8b)

Reorder the terms:
10 + -8b = -40 + -6b + 8b

Combine like terms: -6b + 8b = 2b
10 + -8b = -40 + 2b

Solving
10 + -8b = -40 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
10 + -8b + -2b = -40 + 2b + -2b

Combine like terms: -8b + -2b = -10b
10 + -10b = -40 + 2b + -2b

Combine like terms: 2b + -2b = 0
10 + -10b = -40 + 0
10 + -10b = -40

Add '-10' to each side of the equation.
10 + -10 + -10b = -40 + -10

Combine like terms: 10 + -10 = 0
0 + -10b = -40 + -10
-10b = -40 + -10

Combine like terms: -40 + -10 = -50
-10b = -50

Divide each side by '-10'.
b = 5

Simplifying
b = 5

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