2a+9(a-2)-3(b-2)=

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Solution for 2a+9(a-2)-3(b-2)= equation:


Simplifying
2a + 9(a + -2) + -3(b + -2) = 0

Reorder the terms:
2a + 9(-2 + a) + -3(b + -2) = 0
2a + (-2 * 9 + a * 9) + -3(b + -2) = 0
2a + (-18 + 9a) + -3(b + -2) = 0

Reorder the terms:
2a + -18 + 9a + -3(-2 + b) = 0
2a + -18 + 9a + (-2 * -3 + b * -3) = 0
2a + -18 + 9a + (6 + -3b) = 0

Reorder the terms:
-18 + 6 + 2a + 9a + -3b = 0

Combine like terms: -18 + 6 = -12
-12 + 2a + 9a + -3b = 0

Combine like terms: 2a + 9a = 11a
-12 + 11a + -3b = 0

Solving
-12 + 11a + -3b = 0

Solving for variable 'a'.

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

Add '12' to each side of the equation.
-12 + 11a + 12 + -3b = 0 + 12

Reorder the terms:
-12 + 12 + 11a + -3b = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 11a + -3b = 0 + 12
11a + -3b = 0 + 12

Combine like terms: 0 + 12 = 12
11a + -3b = 12

Add '3b' to each side of the equation.
11a + -3b + 3b = 12 + 3b

Combine like terms: -3b + 3b = 0
11a + 0 = 12 + 3b
11a = 12 + 3b

Divide each side by '11'.
a = 1.090909091 + 0.2727272727b

Simplifying
a = 1.090909091 + 0.2727272727b

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