2(46-6)=4(3b-7)

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Solution for 2(46-6)=4(3b-7) equation: 


Simplifying
2(46 + -6) = 4(3b + -7)

Combine like terms: 46 + -6 = 40
2(40) = 4(3b + -7)

Multiply 2 * 40
80 = 4(3b + -7)

Reorder the terms:
80 = 4(-7 + 3b)
80 = (-7 * 4 + 3b * 4)
80 = (-28 + 12b)

Solving
80 = -28 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
80 + -12b = -28 + 12b + -12b

Combine like terms: 12b + -12b = 0
80 + -12b = -28 + 0
80 + -12b = -28

Add '-80' to each side of the equation.
80 + -80 + -12b = -28 + -80

Combine like terms: 80 + -80 = 0
0 + -12b = -28 + -80
-12b = -28 + -80

Combine like terms: -28 + -80 = -108
-12b = -108

Divide each side by '-12'.
b = 9

Simplifying
b = 9

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