1.5(4-w)=-(1.5-8)

Solution for 1.5(4-w)=-(1.5-8) equation:

Simplifying
1.5(4 + -1w) = -1(1.5 + -8)
(4 * 1.5 + -1w * 1.5) = -1(1.5 + -8)
(6 + -1.5w) = -1(1.5 + -8)

Combine like terms: 1.5 + -8 = -6.5
6 + -1.5w = -1(-6.5)

Multiply -1 * -6.5
6 + -1.5w = 6.5

Solving
6 + -1.5w = 6.5

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + -1.5w = 6.5 + -6

Combine like terms: 6 + -6 = 0
0 + -1.5w = 6.5 + -6
-1.5w = 6.5 + -6

Combine like terms: 6.5 + -6 = 0.5
-1.5w = 0.5

Divide each side by '-1.5'.
w = -0.3333333333

Simplifying
w = -0.3333333333