59=w-6+46

Solution for 59=w-6+46 equation:

Simplifying
59 = w + -6 + 46

Reorder the terms:
59 = -6 + 46 + w

Combine like terms: -6 + 46 = 40
59 = 40 + w

Solving
59 = 40 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
59 + -1w = 40 + w + -1w

Combine like terms: w + -1w = 0
59 + -1w = 40 + 0
59 + -1w = 40

Add '-59' to each side of the equation.
59 + -59 + -1w = 40 + -59

Combine like terms: 59 + -59 = 0
0 + -1w = 40 + -59
-1w = 40 + -59

Combine like terms: 40 + -59 = -19
-1w = -19

Divide each side by '-1'.
w = 19

Simplifying
w = 19