4.5w+2-3(2w-3)=7.25

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Solution for 4.5w+2-3(2w-3)=7.25 equation: 


Simplifying
4.5w + 2 + -3(2w + -3) = 7.25

Reorder the terms:
4.5w + 2 + -3(-3 + 2w) = 7.25
4.5w + 2 + (-3 * -3 + 2w * -3) = 7.25
4.5w + 2 + (9 + -6w) = 7.25

Reorder the terms:
2 + 9 + 4.5w + -6w = 7.25

Combine like terms: 2 + 9 = 11
11 + 4.5w + -6w = 7.25

Combine like terms: 4.5w + -6w = -1.5w
11 + -1.5w = 7.25

Solving
11 + -1.5w = 7.25

Solving for variable 'w'.

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

Add '-11' to each side of the equation.
11 + -11 + -1.5w = 7.25 + -11

Combine like terms: 11 + -11 = 0
0 + -1.5w = 7.25 + -11
-1.5w = 7.25 + -11

Combine like terms: 7.25 + -11 = -3.75
-1.5w = -3.75

Divide each side by '-1.5'.
w = 2.5

Simplifying
w = 2.5

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