1b+4-5b=-6(1b-4)+2(5-2b)

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Solution for 1b+4-5b=-6(1b-4)+2(5-2b) equation:


Simplifying
1b + 4 + -5b = -6(1b + -4) + 2(5 + -2b)

Reorder the terms:
4 + 1b + -5b = -6(1b + -4) + 2(5 + -2b)

Combine like terms: 1b + -5b = -4b
4 + -4b = -6(1b + -4) + 2(5 + -2b)

Reorder the terms:
4 + -4b = -6(-4 + 1b) + 2(5 + -2b)
4 + -4b = (-4 * -6 + 1b * -6) + 2(5 + -2b)
4 + -4b = (24 + -6b) + 2(5 + -2b)
4 + -4b = 24 + -6b + (5 * 2 + -2b * 2)
4 + -4b = 24 + -6b + (10 + -4b)

Reorder the terms:
4 + -4b = 24 + 10 + -6b + -4b

Combine like terms: 24 + 10 = 34
4 + -4b = 34 + -6b + -4b

Combine like terms: -6b + -4b = -10b
4 + -4b = 34 + -10b

Solving
4 + -4b = 34 + -10b

Solving for variable 'b'.

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

Add '10b' to each side of the equation.
4 + -4b + 10b = 34 + -10b + 10b

Combine like terms: -4b + 10b = 6b
4 + 6b = 34 + -10b + 10b

Combine like terms: -10b + 10b = 0
4 + 6b = 34 + 0
4 + 6b = 34

Add '-4' to each side of the equation.
4 + -4 + 6b = 34 + -4

Combine like terms: 4 + -4 = 0
0 + 6b = 34 + -4
6b = 34 + -4

Combine like terms: 34 + -4 = 30
6b = 30

Divide each side by '6'.
b = 5

Simplifying
b = 5

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