a-2(a-16)=7a

Solution for a-2(a-16)=7a equation:

Simplifying
a + -2(a + -16) = 7a

Reorder the terms:
a + -2(-16 + a) = 7a
a + (-16 * -2 + a * -2) = 7a
a + (32 + -2a) = 7a

Reorder the terms:
32 + a + -2a = 7a

Combine like terms: a + -2a = -1a
32 + -1a = 7a

Solving
32 + -1a = 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.
32 + -1a + -7a = 7a + -7a

Combine like terms: -1a + -7a = -8a
32 + -8a = 7a + -7a

Combine like terms: 7a + -7a = 0
32 + -8a = 0

Add '-32' to each side of the equation.
32 + -32 + -8a = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -8a = 0 + -32
-8a = 0 + -32

Combine like terms: 0 + -32 = -32
-8a = -32

Divide each side by '-8'.
a = 4

Simplifying
a = 4