6(a-3)=6(a+5)-6a

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Solution for 6(a-3)=6(a+5)-6a equation:


Simplifying
6(a + -3) = 6(a + 5) + -6a

Reorder the terms:
6(-3 + a) = 6(a + 5) + -6a
(-3 * 6 + a * 6) = 6(a + 5) + -6a
(-18 + 6a) = 6(a + 5) + -6a

Reorder the terms:
-18 + 6a = 6(5 + a) + -6a
-18 + 6a = (5 * 6 + a * 6) + -6a
-18 + 6a = (30 + 6a) + -6a

Combine like terms: 6a + -6a = 0
-18 + 6a = 30 + 0
-18 + 6a = 30

Solving
-18 + 6a = 30

Solving for variable 'a'.

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

Add '18' to each side of the equation.
-18 + 18 + 6a = 30 + 18

Combine like terms: -18 + 18 = 0
0 + 6a = 30 + 18
6a = 30 + 18

Combine like terms: 30 + 18 = 48
6a = 48

Divide each side by '6'.
a = 8

Simplifying
a = 8

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