-10b-(10-3b)=-(b-8)

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Solution for -10b-(10-3b)=-(b-8) equation:


Simplifying
-10b + -1(10 + -3b) = -1(b + -8)
-10b + (10 * -1 + -3b * -1) = -1(b + -8)
-10b + (-10 + 3b) = -1(b + -8)

Reorder the terms:
-10 + -10b + 3b = -1(b + -8)

Combine like terms: -10b + 3b = -7b
-10 + -7b = -1(b + -8)

Reorder the terms:
-10 + -7b = -1(-8 + b)
-10 + -7b = (-8 * -1 + b * -1)
-10 + -7b = (8 + -1b)

Solving
-10 + -7b = 8 + -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
-10 + -7b + b = 8 + -1b + b

Combine like terms: -7b + b = -6b
-10 + -6b = 8 + -1b + b

Combine like terms: -1b + b = 0
-10 + -6b = 8 + 0
-10 + -6b = 8

Add '10' to each side of the equation.
-10 + 10 + -6b = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -6b = 8 + 10
-6b = 8 + 10

Combine like terms: 8 + 10 = 18
-6b = 18

Divide each side by '-6'.
b = -3

Simplifying
b = -3

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