6(w-5)=-9w+15

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Solution for 6(w-5)=-9w+15 equation: 


Simplifying
6(w + -5) = -9w + 15

Reorder the terms:
6(-5 + w) = -9w + 15
(-5 * 6 + w * 6) = -9w + 15
(-30 + 6w) = -9w + 15

Reorder the terms:
-30 + 6w = 15 + -9w

Solving
-30 + 6w = 15 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
-30 + 6w + 9w = 15 + -9w + 9w

Combine like terms: 6w + 9w = 15w
-30 + 15w = 15 + -9w + 9w

Combine like terms: -9w + 9w = 0
-30 + 15w = 15 + 0
-30 + 15w = 15

Add '30' to each side of the equation.
-30 + 30 + 15w = 15 + 30

Combine like terms: -30 + 30 = 0
0 + 15w = 15 + 30
15w = 15 + 30

Combine like terms: 15 + 30 = 45
15w = 45

Divide each side by '15'.
w = 3

Simplifying
w = 3

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