4-6w=3(0.5+0.5w)

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Solution for 4-6w=3(0.5+0.5w) equation:


Simplifying
4 + -6w = 3(0.5 + 0.5w)
4 + -6w = (0.5 * 3 + 0.5w * 3)
4 + -6w = (1.5 + 1.5w)

Solving
4 + -6w = 1.5 + 1.5w

Solving for variable 'w'.

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

Add '-1.5w' to each side of the equation.
4 + -6w + -1.5w = 1.5 + 1.5w + -1.5w

Combine like terms: -6w + -1.5w = -7.5w
4 + -7.5w = 1.5 + 1.5w + -1.5w

Combine like terms: 1.5w + -1.5w = 0.0
4 + -7.5w = 1.5 + 0.0
4 + -7.5w = 1.5

Add '-4' to each side of the equation.
4 + -4 + -7.5w = 1.5 + -4

Combine like terms: 4 + -4 = 0
0 + -7.5w = 1.5 + -4
-7.5w = 1.5 + -4

Combine like terms: 1.5 + -4 = -2.5
-7.5w = -2.5

Divide each side by '-7.5'.
w = 0.3333333333

Simplifying
w = 0.3333333333

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