9(2-a)+4a=10-3a

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Solution for 9(2-a)+4a=10-3a equation:


Simplifying
9(2 + -1a) + 4a = 10 + -3a
(2 * 9 + -1a * 9) + 4a = 10 + -3a
(18 + -9a) + 4a = 10 + -3a

Combine like terms: -9a + 4a = -5a
18 + -5a = 10 + -3a

Solving
18 + -5a = 10 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
18 + -5a + 3a = 10 + -3a + 3a

Combine like terms: -5a + 3a = -2a
18 + -2a = 10 + -3a + 3a

Combine like terms: -3a + 3a = 0
18 + -2a = 10 + 0
18 + -2a = 10

Add '-18' to each side of the equation.
18 + -18 + -2a = 10 + -18

Combine like terms: 18 + -18 = 0
0 + -2a = 10 + -18
-2a = 10 + -18

Combine like terms: 10 + -18 = -8
-2a = -8

Divide each side by '-2'.
a = 4

Simplifying
a = 4

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