4-(w-3)+2(3w-5)=6

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Solution for 4-(w-3)+2(3w-5)=6 equation:


Simplifying
4 + -1(w + -3) + 2(3w + -5) = 6

Reorder the terms:
4 + -1(-3 + w) + 2(3w + -5) = 6
4 + (-3 * -1 + w * -1) + 2(3w + -5) = 6
4 + (3 + -1w) + 2(3w + -5) = 6

Reorder the terms:
4 + 3 + -1w + 2(-5 + 3w) = 6
4 + 3 + -1w + (-5 * 2 + 3w * 2) = 6
4 + 3 + -1w + (-10 + 6w) = 6

Reorder the terms:
4 + 3 + -10 + -1w + 6w = 6

Combine like terms: 4 + 3 = 7
7 + -10 + -1w + 6w = 6

Combine like terms: 7 + -10 = -3
-3 + -1w + 6w = 6

Combine like terms: -1w + 6w = 5w
-3 + 5w = 6

Solving
-3 + 5w = 6

Solving for variable 'w'.

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

Add '3' to each side of the equation.
-3 + 3 + 5w = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 5w = 6 + 3
5w = 6 + 3

Combine like terms: 6 + 3 = 9
5w = 9

Divide each side by '5'.
w = 1.8

Simplifying
w = 1.8

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