(3w+10x-2y-21)-(-12w+1x-12y+12)=

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Solution for (3w+10x-2y-21)-(-12w+1x-12y+12)= equation:


Simplifying
(3w + 10x + -2y + -21) + -1(-12w + 1x + -12y + 12) = 0

Reorder the terms:
(-21 + 3w + 10x + -2y) + -1(-12w + 1x + -12y + 12) = 0

Remove parenthesis around (-21 + 3w + 10x + -2y)
-21 + 3w + 10x + -2y + -1(-12w + 1x + -12y + 12) = 0

Reorder the terms:
-21 + 3w + 10x + -2y + -1(12 + -12w + 1x + -12y) = 0
-21 + 3w + 10x + -2y + (12 * -1 + -12w * -1 + 1x * -1 + -12y * -1) = 0
-21 + 3w + 10x + -2y + (-12 + 12w + -1x + 12y) = 0

Reorder the terms:
-21 + -12 + 3w + 12w + 10x + -1x + -2y + 12y = 0

Combine like terms: -21 + -12 = -33
-33 + 3w + 12w + 10x + -1x + -2y + 12y = 0

Combine like terms: 3w + 12w = 15w
-33 + 15w + 10x + -1x + -2y + 12y = 0

Combine like terms: 10x + -1x = 9x
-33 + 15w + 9x + -2y + 12y = 0

Combine like terms: -2y + 12y = 10y
-33 + 15w + 9x + 10y = 0

Solving
-33 + 15w + 9x + 10y = 0

Solving for variable 'w'.

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

Add '33' to each side of the equation.
-33 + 15w + 9x + 33 + 10y = 0 + 33

Reorder the terms:
-33 + 33 + 15w + 9x + 10y = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 15w + 9x + 10y = 0 + 33
15w + 9x + 10y = 0 + 33

Combine like terms: 0 + 33 = 33
15w + 9x + 10y = 33

Add '-9x' to each side of the equation.
15w + 9x + -9x + 10y = 33 + -9x

Combine like terms: 9x + -9x = 0
15w + 0 + 10y = 33 + -9x
15w + 10y = 33 + -9x

Add '-10y' to each side of the equation.
15w + 10y + -10y = 33 + -9x + -10y

Combine like terms: 10y + -10y = 0
15w + 0 = 33 + -9x + -10y
15w = 33 + -9x + -10y

Divide each side by '15'.
w = 2.2 + -0.6x + -0.6666666667y

Simplifying
w = 2.2 + -0.6x + -0.6666666667y

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