4a-2+a=5a-4(a-4)

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Solution for 4a-2+a=5a-4(a-4) equation:


Simplifying
4a + -2 + a = 5a + -4(a + -4)

Reorder the terms:
-2 + 4a + a = 5a + -4(a + -4)

Combine like terms: 4a + a = 5a
-2 + 5a = 5a + -4(a + -4)

Reorder the terms:
-2 + 5a = 5a + -4(-4 + a)
-2 + 5a = 5a + (-4 * -4 + a * -4)
-2 + 5a = 5a + (16 + -4a)

Reorder the terms:
-2 + 5a = 16 + 5a + -4a

Combine like terms: 5a + -4a = 1a
-2 + 5a = 16 + 1a

Solving
-2 + 5a = 16 + 1a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-2 + 5a + -1a = 16 + 1a + -1a

Combine like terms: 5a + -1a = 4a
-2 + 4a = 16 + 1a + -1a

Combine like terms: 1a + -1a = 0
-2 + 4a = 16 + 0
-2 + 4a = 16

Add '2' to each side of the equation.
-2 + 2 + 4a = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 4a = 16 + 2
4a = 16 + 2

Combine like terms: 16 + 2 = 18
4a = 18

Divide each side by '4'.
a = 4.5

Simplifying
a = 4.5

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