3a-(a-4)+(a+1)=a+6

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Solution for 3a-(a-4)+(a+1)=a+6 equation:


Simplifying
3a + -1(a + -4) + (a + 1) = a + 6

Reorder the terms:
3a + -1(-4 + a) + (a + 1) = a + 6
3a + (-4 * -1 + a * -1) + (a + 1) = a + 6
3a + (4 + -1a) + (a + 1) = a + 6

Reorder the terms:
3a + 4 + -1a + (1 + a) = a + 6

Remove parenthesis around (1 + a)
3a + 4 + -1a + 1 + a = a + 6

Reorder the terms:
4 + 1 + 3a + -1a + a = a + 6

Combine like terms: 4 + 1 = 5
5 + 3a + -1a + a = a + 6

Combine like terms: 3a + -1a = 2a
5 + 2a + a = a + 6

Combine like terms: 2a + a = 3a
5 + 3a = a + 6

Reorder the terms:
5 + 3a = 6 + a

Solving
5 + 3a = 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.
5 + 3a + -1a = 6 + a + -1a

Combine like terms: 3a + -1a = 2a
5 + 2a = 6 + a + -1a

Combine like terms: a + -1a = 0
5 + 2a = 6 + 0
5 + 2a = 6

Add '-5' to each side of the equation.
5 + -5 + 2a = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 2a = 6 + -5
2a = 6 + -5

Combine like terms: 6 + -5 = 1
2a = 1

Divide each side by '2'.
a = 0.5

Simplifying
a = 0.5

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