2(2-b)-4(2-3b)=16

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Solution for 2(2-b)-4(2-3b)=16 equation:


Simplifying
2(2 + -1b) + -4(2 + -3b) = 16
(2 * 2 + -1b * 2) + -4(2 + -3b) = 16
(4 + -2b) + -4(2 + -3b) = 16
4 + -2b + (2 * -4 + -3b * -4) = 16
4 + -2b + (-8 + 12b) = 16

Reorder the terms:
4 + -8 + -2b + 12b = 16

Combine like terms: 4 + -8 = -4
-4 + -2b + 12b = 16

Combine like terms: -2b + 12b = 10b
-4 + 10b = 16

Solving
-4 + 10b = 16

Solving for variable 'b'.

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

Add '4' to each side of the equation.
-4 + 4 + 10b = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 10b = 16 + 4
10b = 16 + 4

Combine like terms: 16 + 4 = 20
10b = 20

Divide each side by '10'.
b = 2

Simplifying
b = 2

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