6(b-2)=3(b+8.5)

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Solution for 6(b-2)=3(b+8.5) equation:


Simplifying
6(b + -2) = 3(b + 8.5)

Reorder the terms:
6(-2 + b) = 3(b + 8.5)
(-2 * 6 + b * 6) = 3(b + 8.5)
(-12 + 6b) = 3(b + 8.5)

Reorder the terms:
-12 + 6b = 3(8.5 + b)
-12 + 6b = (8.5 * 3 + b * 3)
-12 + 6b = (25.5 + 3b)

Solving
-12 + 6b = 25.5 + 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.
-12 + 6b + -3b = 25.5 + 3b + -3b

Combine like terms: 6b + -3b = 3b
-12 + 3b = 25.5 + 3b + -3b

Combine like terms: 3b + -3b = 0
-12 + 3b = 25.5 + 0
-12 + 3b = 25.5

Add '12' to each side of the equation.
-12 + 12 + 3b = 25.5 + 12

Combine like terms: -12 + 12 = 0
0 + 3b = 25.5 + 12
3b = 25.5 + 12

Combine like terms: 25.5 + 12 = 37.5
3b = 37.5

Divide each side by '3'.
b = 12.5

Simplifying
b = 12.5

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