8-3(a-1)=2+4(3-a)

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Solution for 8-3(a-1)=2+4(3-a) equation:


Simplifying
8 + -3(a + -1) = 2 + 4(3 + -1a)

Reorder the terms:
8 + -3(-1 + a) = 2 + 4(3 + -1a)
8 + (-1 * -3 + a * -3) = 2 + 4(3 + -1a)
8 + (3 + -3a) = 2 + 4(3 + -1a)

Combine like terms: 8 + 3 = 11
11 + -3a = 2 + 4(3 + -1a)
11 + -3a = 2 + (3 * 4 + -1a * 4)
11 + -3a = 2 + (12 + -4a)

Combine like terms: 2 + 12 = 14
11 + -3a = 14 + -4a

Solving
11 + -3a = 14 + -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.
11 + -3a + 4a = 14 + -4a + 4a

Combine like terms: -3a + 4a = 1a
11 + 1a = 14 + -4a + 4a

Combine like terms: -4a + 4a = 0
11 + 1a = 14 + 0
11 + 1a = 14

Add '-11' to each side of the equation.
11 + -11 + 1a = 14 + -11

Combine like terms: 11 + -11 = 0
0 + 1a = 14 + -11
1a = 14 + -11

Combine like terms: 14 + -11 = 3
1a = 3

Divide each side by '1'.
a = 3

Simplifying
a = 3

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