78-(q+(78+4q))=2(78+4q)

Solution for 78-(q+(78+4q))=2(78+4q) equation:

Simplifying
78 + -1(q + (78 + 4q)) = 2(78 + 4q)

Remove parenthesis around (78 + 4q)
78 + -1(q + 78 + 4q) = 2(78 + 4q)

Reorder the terms:
78 + -1(78 + q + 4q) = 2(78 + 4q)

Combine like terms: q + 4q = 5q
78 + -1(78 + 5q) = 2(78 + 4q)
78 + (78 * -1 + 5q * -1) = 2(78 + 4q)
78 + (-78 + -5q) = 2(78 + 4q)

Combine like terms: 78 + -78 = 0
0 + -5q = 2(78 + 4q)
-5q = 2(78 + 4q)
-5q = (78 * 2 + 4q * 2)
-5q = (156 + 8q)

Solving
-5q = 156 + 8q

Solving for variable 'q'.

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

Add '-8q' to each side of the equation.
-5q + -8q = 156 + 8q + -8q

Combine like terms: -5q + -8q = -13q
-13q = 156 + 8q + -8q

Combine like terms: 8q + -8q = 0
-13q = 156 + 0
-13q = 156

Divide each side by '-13'.
q = -12

Simplifying
q = -12