1-6b=7-2(4b-2)

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Solution for 1-6b=7-2(4b-2) equation:


Simplifying
1 + -6b = 7 + -2(4b + -2)

Reorder the terms:
1 + -6b = 7 + -2(-2 + 4b)
1 + -6b = 7 + (-2 * -2 + 4b * -2)
1 + -6b = 7 + (4 + -8b)

Combine like terms: 7 + 4 = 11
1 + -6b = 11 + -8b

Solving
1 + -6b = 11 + -8b

Solving for variable 'b'.

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

Add '8b' to each side of the equation.
1 + -6b + 8b = 11 + -8b + 8b

Combine like terms: -6b + 8b = 2b
1 + 2b = 11 + -8b + 8b

Combine like terms: -8b + 8b = 0
1 + 2b = 11 + 0
1 + 2b = 11

Add '-1' to each side of the equation.
1 + -1 + 2b = 11 + -1

Combine like terms: 1 + -1 = 0
0 + 2b = 11 + -1
2b = 11 + -1

Combine like terms: 11 + -1 = 10
2b = 10

Divide each side by '2'.
b = 5

Simplifying
b = 5

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