5(-3b-2)-6=-(1-5b)+5

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Solution for 5(-3b-2)-6=-(1-5b)+5 equation:


Simplifying
5(-3b + -2) + -6 = -1(1 + -5b) + 5

Reorder the terms:
5(-2 + -3b) + -6 = -1(1 + -5b) + 5
(-2 * 5 + -3b * 5) + -6 = -1(1 + -5b) + 5
(-10 + -15b) + -6 = -1(1 + -5b) + 5

Reorder the terms:
-10 + -6 + -15b = -1(1 + -5b) + 5

Combine like terms: -10 + -6 = -16
-16 + -15b = -1(1 + -5b) + 5
-16 + -15b = (1 * -1 + -5b * -1) + 5
-16 + -15b = (-1 + 5b) + 5

Reorder the terms:
-16 + -15b = -1 + 5 + 5b

Combine like terms: -1 + 5 = 4
-16 + -15b = 4 + 5b

Solving
-16 + -15b = 4 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
-16 + -15b + -5b = 4 + 5b + -5b

Combine like terms: -15b + -5b = -20b
-16 + -20b = 4 + 5b + -5b

Combine like terms: 5b + -5b = 0
-16 + -20b = 4 + 0
-16 + -20b = 4

Add '16' to each side of the equation.
-16 + 16 + -20b = 4 + 16

Combine like terms: -16 + 16 = 0
0 + -20b = 4 + 16
-20b = 4 + 16

Combine like terms: 4 + 16 = 20
-20b = 20

Divide each side by '-20'.
b = -1

Simplifying
b = -1

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