3w+7x-10+2y=8w-9x-16

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Solution for 3w+7x-10+2y=8w-9x-16 equation:


Simplifying
3w + 7x + -10 + 2y = 8w + -9x + -16

Reorder the terms:
-10 + 3w + 7x + 2y = 8w + -9x + -16

Reorder the terms:
-10 + 3w + 7x + 2y = -16 + 8w + -9x

Solving
-10 + 3w + 7x + 2y = -16 + 8w + -9x

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
-10 + 3w + 7x + -8w + 2y = -16 + 8w + -8w + -9x

Reorder the terms:
-10 + 3w + -8w + 7x + 2y = -16 + 8w + -8w + -9x

Combine like terms: 3w + -8w = -5w
-10 + -5w + 7x + 2y = -16 + 8w + -8w + -9x

Combine like terms: 8w + -8w = 0
-10 + -5w + 7x + 2y = -16 + 0 + -9x
-10 + -5w + 7x + 2y = -16 + -9x

Add '10' to each side of the equation.
-10 + -5w + 7x + 10 + 2y = -16 + 10 + -9x

Reorder the terms:
-10 + 10 + -5w + 7x + 2y = -16 + 10 + -9x

Combine like terms: -10 + 10 = 0
0 + -5w + 7x + 2y = -16 + 10 + -9x
-5w + 7x + 2y = -16 + 10 + -9x

Combine like terms: -16 + 10 = -6
-5w + 7x + 2y = -6 + -9x

Add '-7x' to each side of the equation.
-5w + 7x + -7x + 2y = -6 + -9x + -7x

Combine like terms: 7x + -7x = 0
-5w + 0 + 2y = -6 + -9x + -7x
-5w + 2y = -6 + -9x + -7x

Combine like terms: -9x + -7x = -16x
-5w + 2y = -6 + -16x

Add '-2y' to each side of the equation.
-5w + 2y + -2y = -6 + -16x + -2y

Combine like terms: 2y + -2y = 0
-5w + 0 = -6 + -16x + -2y
-5w = -6 + -16x + -2y

Divide each side by '-5'.
w = 1.2 + 3.2x + 0.4y

Simplifying
w = 1.2 + 3.2x + 0.4y

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