10(w+4a)-12+3(w-8)=

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Solution for 10(w+4a)-12+3(w-8)= equation:


Simplifying
10(w + 4a) + -12 + 3(w + -8) = 0

Reorder the terms:
10(4a + w) + -12 + 3(w + -8) = 0
(4a * 10 + w * 10) + -12 + 3(w + -8) = 0
(40a + 10w) + -12 + 3(w + -8) = 0

Reorder the terms:
40a + 10w + -12 + 3(-8 + w) = 0
40a + 10w + -12 + (-8 * 3 + w * 3) = 0
40a + 10w + -12 + (-24 + 3w) = 0

Reorder the terms:
-12 + -24 + 40a + 10w + 3w = 0

Combine like terms: -12 + -24 = -36
-36 + 40a + 10w + 3w = 0

Combine like terms: 10w + 3w = 13w
-36 + 40a + 13w = 0

Solving
-36 + 40a + 13w = 0

Solving for variable 'a'.

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

Add '36' to each side of the equation.
-36 + 40a + 36 + 13w = 0 + 36

Reorder the terms:
-36 + 36 + 40a + 13w = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 40a + 13w = 0 + 36
40a + 13w = 0 + 36

Combine like terms: 0 + 36 = 36
40a + 13w = 36

Add '-13w' to each side of the equation.
40a + 13w + -13w = 36 + -13w

Combine like terms: 13w + -13w = 0
40a + 0 = 36 + -13w
40a = 36 + -13w

Divide each side by '40'.
a = 0.9 + -0.325w

Simplifying
a = 0.9 + -0.325w

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