4.5-1.5(6w+2)=6

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Solution for 4.5-1.5(6w+2)=6 equation:


Simplifying
4.5 + -1.5(6w + 2) = 6

Reorder the terms:
4.5 + -1.5(2 + 6w) = 6
4.5 + (2 * -1.5 + 6w * -1.5) = 6
4.5 + (-3 + -9w) = 6

Combine like terms: 4.5 + -3 = 1.5
1.5 + -9w = 6

Solving
1.5 + -9w = 6

Solving for variable 'w'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -9w = 6 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -9w = 6 + -1.5
-9w = 6 + -1.5

Combine like terms: 6 + -1.5 = 4.5
-9w = 4.5

Divide each side by '-9'.
w = -0.5

Simplifying
w = -0.5

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