2w+3(w-4)=78

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Solution for 2w+3(w-4)=78 equation:


Simplifying
2w + 3(w + -4) = 78

Reorder the terms:
2w + 3(-4 + w) = 78
2w + (-4 * 3 + w * 3) = 78
2w + (-12 + 3w) = 78

Reorder the terms:
-12 + 2w + 3w = 78

Combine like terms: 2w + 3w = 5w
-12 + 5w = 78

Solving
-12 + 5w = 78

Solving for variable 'w'.

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

Add '12' to each side of the equation.
-12 + 12 + 5w = 78 + 12

Combine like terms: -12 + 12 = 0
0 + 5w = 78 + 12
5w = 78 + 12

Combine like terms: 78 + 12 = 90
5w = 90

Divide each side by '5'.
w = 18

Simplifying
w = 18

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