3=3w+3(w-7)

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


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

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

Reorder the terms:
3 = -21 + 3w + 3w

Combine like terms: 3w + 3w = 6w
3 = -21 + 6w

Solving
3 = -21 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
3 + -6w = -21 + 6w + -6w

Combine like terms: 6w + -6w = 0
3 + -6w = -21 + 0
3 + -6w = -21

Add '-3' to each side of the equation.
3 + -3 + -6w = -21 + -3

Combine like terms: 3 + -3 = 0
0 + -6w = -21 + -3
-6w = -21 + -3

Combine like terms: -21 + -3 = -24
-6w = -24

Divide each side by '-6'.
w = 4

Simplifying
w = 4

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