3b-4=2(2b-7)

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Solution for 3b-4=2(2b-7) equation:


Simplifying
3b + -4 = 2(2b + -7)

Reorder the terms:
-4 + 3b = 2(2b + -7)

Reorder the terms:
-4 + 3b = 2(-7 + 2b)
-4 + 3b = (-7 * 2 + 2b * 2)
-4 + 3b = (-14 + 4b)

Solving
-4 + 3b = -14 + 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.
-4 + 3b + -4b = -14 + 4b + -4b

Combine like terms: 3b + -4b = -1b
-4 + -1b = -14 + 4b + -4b

Combine like terms: 4b + -4b = 0
-4 + -1b = -14 + 0
-4 + -1b = -14

Add '4' to each side of the equation.
-4 + 4 + -1b = -14 + 4

Combine like terms: -4 + 4 = 0
0 + -1b = -14 + 4
-1b = -14 + 4

Combine like terms: -14 + 4 = -10
-1b = -10

Divide each side by '-1'.
b = 10

Simplifying
b = 10

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