2(2.25b-9)+6b=7

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Solution for 2(2.25b-9)+6b=7 equation:


Simplifying
2(2.25b + -9) + 6b = 7

Reorder the terms:
2(-9 + 2.25b) + 6b = 7
(-9 * 2 + 2.25b * 2) + 6b = 7
(-18 + 4.5b) + 6b = 7

Combine like terms: 4.5b + 6b = 10.5b
-18 + 10.5b = 7

Solving
-18 + 10.5b = 7

Solving for variable 'b'.

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

Add '18' to each side of the equation.
-18 + 18 + 10.5b = 7 + 18

Combine like terms: -18 + 18 = 0
0 + 10.5b = 7 + 18
10.5b = 7 + 18

Combine like terms: 7 + 18 = 25
10.5b = 25

Divide each side by '10.5'.
b = 2.380952381

Simplifying
b = 2.380952381

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