0.5(6-2b)=2b-9

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Solution for 0.5(6-2b)=2b-9 equation:


Simplifying
0.5(6 + -2b) = 2b + -9
(6 * 0.5 + -2b * 0.5) = 2b + -9
(3 + -1b) = 2b + -9

Reorder the terms:
3 + -1b = -9 + 2b

Solving
3 + -1b = -9 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
3 + -1b + -2b = -9 + 2b + -2b

Combine like terms: -1b + -2b = -3b
3 + -3b = -9 + 2b + -2b

Combine like terms: 2b + -2b = 0
3 + -3b = -9 + 0
3 + -3b = -9

Add '-3' to each side of the equation.
3 + -3 + -3b = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -3b = -9 + -3
-3b = -9 + -3

Combine like terms: -9 + -3 = -12
-3b = -12

Divide each side by '-3'.
b = 4

Simplifying
b = 4

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