3w-33=7(w-3)

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Solution for 3w-33=7(w-3) equation:


Simplifying
3w + -33 = 7(w + -3)

Reorder the terms:
-33 + 3w = 7(w + -3)

Reorder the terms:
-33 + 3w = 7(-3 + w)
-33 + 3w = (-3 * 7 + w * 7)
-33 + 3w = (-21 + 7w)

Solving
-33 + 3w = -21 + 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.
-33 + 3w + -7w = -21 + 7w + -7w

Combine like terms: 3w + -7w = -4w
-33 + -4w = -21 + 7w + -7w

Combine like terms: 7w + -7w = 0
-33 + -4w = -21 + 0
-33 + -4w = -21

Add '33' to each side of the equation.
-33 + 33 + -4w = -21 + 33

Combine like terms: -33 + 33 = 0
0 + -4w = -21 + 33
-4w = -21 + 33

Combine like terms: -21 + 33 = 12
-4w = 12

Divide each side by '-4'.
w = -3

Simplifying
w = -3

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