6b+2=2[2b-3]

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Solution for 6b+2=2[2b-3] equation:


Simplifying
6b + 2 = 2[2b + -3]

Reorder the terms:
2 + 6b = 2[2b + -3]

Reorder the terms:
2 + 6b = 2[-3 + 2b]
2 + 6b = [-3 * 2 + 2b * 2]
2 + 6b = [-6 + 4b]

Solving
2 + 6b = -6 + 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.
2 + 6b + -4b = -6 + 4b + -4b

Combine like terms: 6b + -4b = 2b
2 + 2b = -6 + 4b + -4b

Combine like terms: 4b + -4b = 0
2 + 2b = -6 + 0
2 + 2b = -6

Add '-2' to each side of the equation.
2 + -2 + 2b = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 2b = -6 + -2
2b = -6 + -2

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

Divide each side by '2'.
b = -4

Simplifying
b = -4

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