6(a-3)+2a=4(a-1)

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Solution for 6(a-3)+2a=4(a-1) equation:


Simplifying
6(a + -3) + 2a = 4(a + -1)

Reorder the terms:
6(-3 + a) + 2a = 4(a + -1)
(-3 * 6 + a * 6) + 2a = 4(a + -1)
(-18 + 6a) + 2a = 4(a + -1)

Combine like terms: 6a + 2a = 8a
-18 + 8a = 4(a + -1)

Reorder the terms:
-18 + 8a = 4(-1 + a)
-18 + 8a = (-1 * 4 + a * 4)
-18 + 8a = (-4 + 4a)

Solving
-18 + 8a = -4 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-18 + 8a + -4a = -4 + 4a + -4a

Combine like terms: 8a + -4a = 4a
-18 + 4a = -4 + 4a + -4a

Combine like terms: 4a + -4a = 0
-18 + 4a = -4 + 0
-18 + 4a = -4

Add '18' to each side of the equation.
-18 + 18 + 4a = -4 + 18

Combine like terms: -18 + 18 = 0
0 + 4a = -4 + 18
4a = -4 + 18

Combine like terms: -4 + 18 = 14
4a = 14

Divide each side by '4'.
a = 3.5

Simplifying
a = 3.5

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