3a+(5a-b)-(7a+3b)=a-4b

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Solution for 3a+(5a-b)-(7a+3b)=a-4b equation:


Simplifying
3a + (5a + -1b) + -1(7a + 3b) = a + -4b

Remove parenthesis around (5a + -1b)
3a + 5a + -1b + -1(7a + 3b) = a + -4b
3a + 5a + -1b + (7a * -1 + 3b * -1) = a + -4b
3a + 5a + -1b + (-7a + -3b) = a + -4b

Reorder the terms:
3a + 5a + -7a + -1b + -3b = a + -4b

Combine like terms: 3a + 5a = 8a
8a + -7a + -1b + -3b = a + -4b

Combine like terms: 8a + -7a = 1a
1a + -1b + -3b = a + -4b

Combine like terms: -1b + -3b = -4b
1a + -4b = a + -4b

Add '4b' to each side of the equation.
1a + -4b + 4b = a + -4b + 4b

Combine like terms: -4b + 4b = 0
1a + 0 = a + -4b + 4b
1a = a + -4b + 4b

Combine like terms: -4b + 4b = 0
1a = a + 0
1a = a

Solving
1a = 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.
1a + -1a = a + -1a

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

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

Simplifying
0 = 0

The solution to this equation could not be determined.

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