0.4w-0.3(w+4)=0.7w+1.6

Solution for 0.4w-0.3(w+4)=0.7w+1.6 equation:

Simplifying
0.4w + -0.3(w + 4) = 0.7w + 1.6

Reorder the terms:
0.4w + -0.3(4 + w) = 0.7w + 1.6
0.4w + (4 * -0.3 + w * -0.3) = 0.7w + 1.6
0.4w + (-1.2 + -0.3w) = 0.7w + 1.6

Reorder the terms:
-1.2 + 0.4w + -0.3w = 0.7w + 1.6

Combine like terms: 0.4w + -0.3w = 0.1w
-1.2 + 0.1w = 0.7w + 1.6

Reorder the terms:
-1.2 + 0.1w = 1.6 + 0.7w

Solving
-1.2 + 0.1w = 1.6 + 0.7w

Solving for variable 'w'.

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

Add '-0.7w' to each side of the equation.
-1.2 + 0.1w + -0.7w = 1.6 + 0.7w + -0.7w

Combine like terms: 0.1w + -0.7w = -0.6w
-1.2 + -0.6w = 1.6 + 0.7w + -0.7w

Combine like terms: 0.7w + -0.7w = 0.0
-1.2 + -0.6w = 1.6 + 0.0
-1.2 + -0.6w = 1.6

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.6w = 1.6 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.6w = 1.6 + 1.2
-0.6w = 1.6 + 1.2

Combine like terms: 1.6 + 1.2 = 2.8
-0.6w = 2.8

Divide each side by '-0.6'.
w = -4.666666667

Simplifying
w = -4.666666667