2(w+3)+4(w-2)=m

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


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

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

Reorder the terms:
6 + 2w + 4(-2 + w) = m
6 + 2w + (-2 * 4 + w * 4) = m
6 + 2w + (-8 + 4w) = m

Reorder the terms:
6 + -8 + 2w + 4w = m

Combine like terms: 6 + -8 = -2
-2 + 2w + 4w = m

Combine like terms: 2w + 4w = 6w
-2 + 6w = m

Solving
-2 + 6w = m

Solving for variable 'w'.

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

Add '2' to each side of the equation.
-2 + 2 + 6w = 2 + m

Combine like terms: -2 + 2 = 0
0 + 6w = 2 + m
6w = 2 + m

Divide each side by '6'.
w = 0.3333333333 + 0.1666666667m

Simplifying
w = 0.3333333333 + 0.1666666667m

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