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

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


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

Reorder the terms:
-3 + -2 + 3a + 2a = 4a + -10 + 3a + -9

Combine like terms: -3 + -2 = -5
-5 + 3a + 2a = 4a + -10 + 3a + -9

Combine like terms: 3a + 2a = 5a
-5 + 5a = 4a + -10 + 3a + -9

Reorder the terms:
-5 + 5a = -10 + -9 + 4a + 3a

Combine like terms: -10 + -9 = -19
-5 + 5a = -19 + 4a + 3a

Combine like terms: 4a + 3a = 7a
-5 + 5a = -19 + 7a

Solving
-5 + 5a = -19 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-5 + 5a + -7a = -19 + 7a + -7a

Combine like terms: 5a + -7a = -2a
-5 + -2a = -19 + 7a + -7a

Combine like terms: 7a + -7a = 0
-5 + -2a = -19 + 0
-5 + -2a = -19

Add '5' to each side of the equation.
-5 + 5 + -2a = -19 + 5

Combine like terms: -5 + 5 = 0
0 + -2a = -19 + 5
-2a = -19 + 5

Combine like terms: -19 + 5 = -14
-2a = -14

Divide each side by '-2'.
a = 7

Simplifying
a = 7

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