9(w-6)=3w-30

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Solution for 9(w-6)=3w-30 equation:


Simplifying
9(w + -6) = 3w + -30

Reorder the terms:
9(-6 + w) = 3w + -30
(-6 * 9 + w * 9) = 3w + -30
(-54 + 9w) = 3w + -30

Reorder the terms:
-54 + 9w = -30 + 3w

Solving
-54 + 9w = -30 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-54 + 9w + -3w = -30 + 3w + -3w

Combine like terms: 9w + -3w = 6w
-54 + 6w = -30 + 3w + -3w

Combine like terms: 3w + -3w = 0
-54 + 6w = -30 + 0
-54 + 6w = -30

Add '54' to each side of the equation.
-54 + 54 + 6w = -30 + 54

Combine like terms: -54 + 54 = 0
0 + 6w = -30 + 54
6w = -30 + 54

Combine like terms: -30 + 54 = 24
6w = 24

Divide each side by '6'.
w = 4

Simplifying
w = 4

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