4a+1-7a=11-a-4

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Solution for 4a+1-7a=11-a-4 equation:


Simplifying
4a + 1 + -7a = 11 + -1a + -4

Reorder the terms:
1 + 4a + -7a = 11 + -1a + -4

Combine like terms: 4a + -7a = -3a
1 + -3a = 11 + -1a + -4

Reorder the terms:
1 + -3a = 11 + -4 + -1a

Combine like terms: 11 + -4 = 7
1 + -3a = 7 + -1a

Solving
1 + -3a = 7 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
1 + -3a + a = 7 + -1a + a

Combine like terms: -3a + a = -2a
1 + -2a = 7 + -1a + a

Combine like terms: -1a + a = 0
1 + -2a = 7 + 0
1 + -2a = 7

Add '-1' to each side of the equation.
1 + -1 + -2a = 7 + -1

Combine like terms: 1 + -1 = 0
0 + -2a = 7 + -1
-2a = 7 + -1

Combine like terms: 7 + -1 = 6
-2a = 6

Divide each side by '-2'.
a = -3

Simplifying
a = -3

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