10b-4(b+2)=-(4b-30)

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Solution for 10b-4(b+2)=-(4b-30) equation:


Simplifying
10b + -4(b + 2) = -1(4b + -30)

Reorder the terms:
10b + -4(2 + b) = -1(4b + -30)
10b + (2 * -4 + b * -4) = -1(4b + -30)
10b + (-8 + -4b) = -1(4b + -30)

Reorder the terms:
-8 + 10b + -4b = -1(4b + -30)

Combine like terms: 10b + -4b = 6b
-8 + 6b = -1(4b + -30)

Reorder the terms:
-8 + 6b = -1(-30 + 4b)
-8 + 6b = (-30 * -1 + 4b * -1)
-8 + 6b = (30 + -4b)

Solving
-8 + 6b = 30 + -4b

Solving for variable 'b'.

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

Add '4b' to each side of the equation.
-8 + 6b + 4b = 30 + -4b + 4b

Combine like terms: 6b + 4b = 10b
-8 + 10b = 30 + -4b + 4b

Combine like terms: -4b + 4b = 0
-8 + 10b = 30 + 0
-8 + 10b = 30

Add '8' to each side of the equation.
-8 + 8 + 10b = 30 + 8

Combine like terms: -8 + 8 = 0
0 + 10b = 30 + 8
10b = 30 + 8

Combine like terms: 30 + 8 = 38
10b = 38

Divide each side by '10'.
b = 3.8

Simplifying
b = 3.8

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