2*(a-1+3a)-a+5*(-a)=-2a+3*(a+4)

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Solution for 2*(a-1+3a)-a+5*(-a)=-2a+3*(a+4) equation:


Simplifying
2(a + -1 + 3a) + -1a + 5(-1a) = -2a + 3(a + 4)

Reorder the terms:
2(-1 + a + 3a) + -1a + 5(-1a) = -2a + 3(a + 4)

Combine like terms: a + 3a = 4a
2(-1 + 4a) + -1a + 5(-1a) = -2a + 3(a + 4)
(-1 * 2 + 4a * 2) + -1a + 5(-1a) = -2a + 3(a + 4)
(-2 + 8a) + -1a + 5(-1a) = -2a + 3(a + 4)

Remove parenthesis around (-1a)
-2 + 8a + -1a + 5 * -1a = -2a + 3(a + 4)

Multiply 5 * -1
-2 + 8a + -1a + -5a = -2a + 3(a + 4)

Combine like terms: 8a + -1a = 7a
-2 + 7a + -5a = -2a + 3(a + 4)

Combine like terms: 7a + -5a = 2a
-2 + 2a = -2a + 3(a + 4)

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

Reorder the terms:
-2 + 2a = 12 + -2a + 3a

Combine like terms: -2a + 3a = 1a
-2 + 2a = 12 + 1a

Solving
-2 + 2a = 12 + 1a

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.
-2 + 2a + -1a = 12 + 1a + -1a

Combine like terms: 2a + -1a = 1a
-2 + 1a = 12 + 1a + -1a

Combine like terms: 1a + -1a = 0
-2 + 1a = 12 + 0
-2 + 1a = 12

Add '2' to each side of the equation.
-2 + 2 + 1a = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 1a = 12 + 2
1a = 12 + 2

Combine like terms: 12 + 2 = 14
1a = 14

Divide each side by '1'.
a = 14

Simplifying
a = 14

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