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

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


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

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

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

Combine like terms: 7 + 1 = 8
11 + -4a = 8 + -7a

Solving
11 + -4a = 8 + -7a

Solving for variable 'a'.

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

Add '7a' to each side of the equation.
11 + -4a + 7a = 8 + -7a + 7a

Combine like terms: -4a + 7a = 3a
11 + 3a = 8 + -7a + 7a

Combine like terms: -7a + 7a = 0
11 + 3a = 8 + 0
11 + 3a = 8

Add '-11' to each side of the equation.
11 + -11 + 3a = 8 + -11

Combine like terms: 11 + -11 = 0
0 + 3a = 8 + -11
3a = 8 + -11

Combine like terms: 8 + -11 = -3
3a = -3

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

Simplifying
a = -1

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