7-3(w-3)=23+2(3w+1)

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Solution for 7-3(w-3)=23+2(3w+1) equation: 


Simplifying
7 + -3(w + -3) = 23 + 2(3w + 1)

Reorder the terms:
7 + -3(-3 + w) = 23 + 2(3w + 1)
7 + (-3 * -3 + w * -3) = 23 + 2(3w + 1)
7 + (9 + -3w) = 23 + 2(3w + 1)

Combine like terms: 7 + 9 = 16
16 + -3w = 23 + 2(3w + 1)

Reorder the terms:
16 + -3w = 23 + 2(1 + 3w)
16 + -3w = 23 + (1 * 2 + 3w * 2)
16 + -3w = 23 + (2 + 6w)

Combine like terms: 23 + 2 = 25
16 + -3w = 25 + 6w

Solving
16 + -3w = 25 + 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.
16 + -3w + -6w = 25 + 6w + -6w

Combine like terms: -3w + -6w = -9w
16 + -9w = 25 + 6w + -6w

Combine like terms: 6w + -6w = 0
16 + -9w = 25 + 0
16 + -9w = 25

Add '-16' to each side of the equation.
16 + -16 + -9w = 25 + -16

Combine like terms: 16 + -16 = 0
0 + -9w = 25 + -16
-9w = 25 + -16

Combine like terms: 25 + -16 = 9
-9w = 9

Divide each side by '-9'.
w = -1

Simplifying
w = -1

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