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

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


Simplifying
3(a + 3) + -1a = 10 + a + -4

Reorder the terms:
3(3 + a) + -1a = 10 + a + -4
(3 * 3 + a * 3) + -1a = 10 + a + -4
(9 + 3a) + -1a = 10 + a + -4

Combine like terms: 3a + -1a = 2a
9 + 2a = 10 + a + -4

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

Combine like terms: 10 + -4 = 6
9 + 2a = 6 + a

Solving
9 + 2a = 6 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
9 + 2a + -1a = 6 + a + -1a

Combine like terms: 2a + -1a = 1a
9 + 1a = 6 + a + -1a

Combine like terms: a + -1a = 0
9 + 1a = 6 + 0
9 + 1a = 6

Add '-9' to each side of the equation.
9 + -9 + 1a = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 1a = 6 + -9
1a = 6 + -9

Combine like terms: 6 + -9 = -3
1a = -3

Divide each side by '1'.
a = -3

Simplifying
a = -3

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