3(6+a)-4(a+10)=8

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Solution for 3(6+a)-4(a+10)=8 equation: 


Simplifying
3(6 + a) + -4(a + 10) = 8
(6 * 3 + a * 3) + -4(a + 10) = 8
(18 + 3a) + -4(a + 10) = 8

Reorder the terms:
18 + 3a + -4(10 + a) = 8
18 + 3a + (10 * -4 + a * -4) = 8
18 + 3a + (-40 + -4a) = 8

Reorder the terms:
18 + -40 + 3a + -4a = 8

Combine like terms: 18 + -40 = -22
-22 + 3a + -4a = 8

Combine like terms: 3a + -4a = -1a
-22 + -1a = 8

Solving
-22 + -1a = 8

Solving for variable 'a'.

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

Add '22' to each side of the equation.
-22 + 22 + -1a = 8 + 22

Combine like terms: -22 + 22 = 0
0 + -1a = 8 + 22
-1a = 8 + 22

Combine like terms: 8 + 22 = 30
-1a = 30

Divide each side by '-1'.
a = -30

Simplifying
a = -30

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