-83=7a-3(1-a)

Solution for -83=7a-3(1-a) equation:

Simplifying
-83 = 7a + -3(1 + -1a)
-83 = 7a + (1 * -3 + -1a * -3)
-83 = 7a + (-3 + 3a)

Reorder the terms:
-83 = -3 + 7a + 3a

Combine like terms: 7a + 3a = 10a
-83 = -3 + 10a

Solving
-83 = -3 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
-83 + -10a = -3 + 10a + -10a

Combine like terms: 10a + -10a = 0
-83 + -10a = -3 + 0
-83 + -10a = -3

Add '83' to each side of the equation.
-83 + 83 + -10a = -3 + 83

Combine like terms: -83 + 83 = 0
0 + -10a = -3 + 83
-10a = -3 + 83

Combine like terms: -3 + 83 = 80
-10a = 80

Divide each side by '-10'.
a = -8

Simplifying
a = -8