83=-5a-6(7-5a)

Solution for 83=-5a-6(7-5a) equation:

Simplifying
83 = -5a + -6(7 + -5a)
83 = -5a + (7 * -6 + -5a * -6)
83 = -5a + (-42 + 30a)

Reorder the terms:
83 = -42 + -5a + 30a

Combine like terms: -5a + 30a = 25a
83 = -42 + 25a

Solving
83 = -42 + 25a

Solving for variable 'a'.

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

Add '-25a' to each side of the equation.
83 + -25a = -42 + 25a + -25a

Combine like terms: 25a + -25a = 0
83 + -25a = -42 + 0
83 + -25a = -42

Add '-83' to each side of the equation.
83 + -83 + -25a = -42 + -83

Combine like terms: 83 + -83 = 0
0 + -25a = -42 + -83
-25a = -42 + -83

Combine like terms: -42 + -83 = -125
-25a = -125

Divide each side by '-25'.
a = 5

Simplifying
a = 5