7(w-4)=1w+2

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Solution for 7(w-4)=1w+2 equation:


Simplifying
7(w + -4) = 1w + 2

Reorder the terms:
7(-4 + w) = 1w + 2
(-4 * 7 + w * 7) = 1w + 2
(-28 + 7w) = 1w + 2

Reorder the terms:
-28 + 7w = 2 + 1w

Solving
-28 + 7w = 2 + 1w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
-28 + 7w + -1w = 2 + 1w + -1w

Combine like terms: 7w + -1w = 6w
-28 + 6w = 2 + 1w + -1w

Combine like terms: 1w + -1w = 0
-28 + 6w = 2 + 0
-28 + 6w = 2

Add '28' to each side of the equation.
-28 + 28 + 6w = 2 + 28

Combine like terms: -28 + 28 = 0
0 + 6w = 2 + 28
6w = 2 + 28

Combine like terms: 2 + 28 = 30
6w = 30

Divide each side by '6'.
w = 5

Simplifying
w = 5

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