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

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


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

Reorder the terms:
10 + -3(-3 + 4a) = 2(3a + -4) + -9
10 + (-3 * -3 + 4a * -3) = 2(3a + -4) + -9
10 + (9 + -12a) = 2(3a + -4) + -9

Combine like terms: 10 + 9 = 19
19 + -12a = 2(3a + -4) + -9

Reorder the terms:
19 + -12a = 2(-4 + 3a) + -9
19 + -12a = (-4 * 2 + 3a * 2) + -9
19 + -12a = (-8 + 6a) + -9

Reorder the terms:
19 + -12a = -8 + -9 + 6a

Combine like terms: -8 + -9 = -17
19 + -12a = -17 + 6a

Solving
19 + -12a = -17 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
19 + -12a + -6a = -17 + 6a + -6a

Combine like terms: -12a + -6a = -18a
19 + -18a = -17 + 6a + -6a

Combine like terms: 6a + -6a = 0
19 + -18a = -17 + 0
19 + -18a = -17

Add '-19' to each side of the equation.
19 + -19 + -18a = -17 + -19

Combine like terms: 19 + -19 = 0
0 + -18a = -17 + -19
-18a = -17 + -19

Combine like terms: -17 + -19 = -36
-18a = -36

Divide each side by '-18'.
a = 2

Simplifying
a = 2

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