3(a-3)+2(a-1)=3

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Solution for 3(a-3)+2(a-1)=3 equation:


Simplifying
3(a + -3) + 2(a + -1) = 3

Reorder the terms:
3(-3 + a) + 2(a + -1) = 3
(-3 * 3 + a * 3) + 2(a + -1) = 3
(-9 + 3a) + 2(a + -1) = 3

Reorder the terms:
-9 + 3a + 2(-1 + a) = 3
-9 + 3a + (-1 * 2 + a * 2) = 3
-9 + 3a + (-2 + 2a) = 3

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

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

Combine like terms: 3a + 2a = 5a
-11 + 5a = 3

Solving
-11 + 5a = 3

Solving for variable 'a'.

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

Add '11' to each side of the equation.
-11 + 11 + 5a = 3 + 11

Combine like terms: -11 + 11 = 0
0 + 5a = 3 + 11
5a = 3 + 11

Combine like terms: 3 + 11 = 14
5a = 14

Divide each side by '5'.
a = 2.8

Simplifying
a = 2.8

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