.5(15b-7)=3b-9

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Solution for .5(15b-7)=3b-9 equation: 


Simplifying
0.5(15b + -7) = 3b + -9

Reorder the terms:
0.5(-7 + 15b) = 3b + -9
(-7 * 0.5 + 15b * 0.5) = 3b + -9
(-3.5 + 7.5b) = 3b + -9

Reorder the terms:
-3.5 + 7.5b = -9 + 3b

Solving
-3.5 + 7.5b = -9 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-3.5 + 7.5b + -3b = -9 + 3b + -3b

Combine like terms: 7.5b + -3b = 4.5b
-3.5 + 4.5b = -9 + 3b + -3b

Combine like terms: 3b + -3b = 0
-3.5 + 4.5b = -9 + 0
-3.5 + 4.5b = -9

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 4.5b = -9 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 4.5b = -9 + 3.5
4.5b = -9 + 3.5

Combine like terms: -9 + 3.5 = -5.5
4.5b = -5.5

Divide each side by '4.5'.
b = -1.222222222

Simplifying
b = -1.222222222

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