12(7-a)-31(b-5)+6(-a-12)-8(-13-6)=

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Solution for 12(7-a)-31(b-5)+6(-a-12)-8(-13-6)= equation: 


Simplifying
12(7 + -1a) + -31(b + -5) + 6(-1a + -12) + -8(-13 + -6) = 0
(7 * 12 + -1a * 12) + -31(b + -5) + 6(-1a + -12) + -8(-13 + -6) = 0
(84 + -12a) + -31(b + -5) + 6(-1a + -12) + -8(-13 + -6) = 0

Reorder the terms:
84 + -12a + -31(-5 + b) + 6(-1a + -12) + -8(-13 + -6) = 0
84 + -12a + (-5 * -31 + b * -31) + 6(-1a + -12) + -8(-13 + -6) = 0
84 + -12a + (155 + -31b) + 6(-1a + -12) + -8(-13 + -6) = 0

Reorder the terms:
84 + -12a + 155 + -31b + 6(-12 + -1a) + -8(-13 + -6) = 0
84 + -12a + 155 + -31b + (-12 * 6 + -1a * 6) + -8(-13 + -6) = 0
84 + -12a + 155 + -31b + (-72 + -6a) + -8(-13 + -6) = 0

Combine like terms: -13 + -6 = -19
84 + -12a + 155 + -31b + -72 + -6a + -8(-19) = 0

Multiply -8 * -19
84 + -12a + 155 + -31b + -72 + -6a + 152 = 0

Reorder the terms:
84 + 155 + -72 + 152 + -12a + -6a + -31b = 0

Combine like terms: 84 + 155 = 239
239 + -72 + 152 + -12a + -6a + -31b = 0

Combine like terms: 239 + -72 = 167
167 + 152 + -12a + -6a + -31b = 0

Combine like terms: 167 + 152 = 319
319 + -12a + -6a + -31b = 0

Combine like terms: -12a + -6a = -18a
319 + -18a + -31b = 0

Solving
319 + -18a + -31b = 0

Solving for variable 'a'.

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

Add '-319' to each side of the equation.
319 + -18a + -319 + -31b = 0 + -319

Reorder the terms:
319 + -319 + -18a + -31b = 0 + -319

Combine like terms: 319 + -319 = 0
0 + -18a + -31b = 0 + -319
-18a + -31b = 0 + -319

Combine like terms: 0 + -319 = -319
-18a + -31b = -319

Add '31b' to each side of the equation.
-18a + -31b + 31b = -319 + 31b

Combine like terms: -31b + 31b = 0
-18a + 0 = -319 + 31b
-18a = -319 + 31b

Divide each side by '-18'.
a = 17.72222222 + -1.722222222b

Simplifying
a = 17.72222222 + -1.722222222b

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