7=3w+4(w-7)

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Solution for 7=3w+4(w-7) equation:


Simplifying
7 = 3w + 4(w + -7)

Reorder the terms:
7 = 3w + 4(-7 + w)
7 = 3w + (-7 * 4 + w * 4)
7 = 3w + (-28 + 4w)

Reorder the terms:
7 = -28 + 3w + 4w

Combine like terms: 3w + 4w = 7w
7 = -28 + 7w

Solving
7 = -28 + 7w

Solving for variable 'w'.

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

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

Combine like terms: 7w + -7w = 0
7 + -7w = -28 + 0
7 + -7w = -28

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

Combine like terms: 7 + -7 = 0
0 + -7w = -28 + -7
-7w = -28 + -7

Combine like terms: -28 + -7 = -35
-7w = -35

Divide each side by '-7'.
w = 5

Simplifying
w = 5

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