16=7(w-4)+4w

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Solution for 16=7(w-4)+4w equation:


Simplifying
16 = 7(w + -4) + 4w

Reorder the terms:
16 = 7(-4 + w) + 4w
16 = (-4 * 7 + w * 7) + 4w
16 = (-28 + 7w) + 4w

Combine like terms: 7w + 4w = 11w
16 = -28 + 11w

Solving
16 = -28 + 11w

Solving for variable 'w'.

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

Add '-11w' to each side of the equation.
16 + -11w = -28 + 11w + -11w

Combine like terms: 11w + -11w = 0
16 + -11w = -28 + 0
16 + -11w = -28

Add '-16' to each side of the equation.
16 + -16 + -11w = -28 + -16

Combine like terms: 16 + -16 = 0
0 + -11w = -28 + -16
-11w = -28 + -16

Combine like terms: -28 + -16 = -44
-11w = -44

Divide each side by '-11'.
w = 4

Simplifying
w = 4

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