78=2(4*w+6*w+4*6)

Solution for 78=2(4*w+6*w+4*6) equation:

Simplifying
78 = 2(4w + 6w + 4 * 6)

Multiply 4 * 6
78 = 2(4w + 6w + 24)

Reorder the terms:
78 = 2(24 + 4w + 6w)

Combine like terms: 4w + 6w = 10w
78 = 2(24 + 10w)
78 = (24 * 2 + 10w * 2)
78 = (48 + 20w)

Solving
78 = 48 + 20w

Solving for variable 'w'.

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

Add '-20w' to each side of the equation.
78 + -20w = 48 + 20w + -20w

Combine like terms: 20w + -20w = 0
78 + -20w = 48 + 0
78 + -20w = 48

Add '-78' to each side of the equation.
78 + -78 + -20w = 48 + -78

Combine like terms: 78 + -78 = 0
0 + -20w = 48 + -78
-20w = 48 + -78

Combine like terms: 48 + -78 = -30
-20w = -30

Divide each side by '-20'.
w = 1.5

Simplifying
w = 1.5