5a+5(1-a)=a+8

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Solution for 5a+5(1-a)=a+8 equation:


Simplifying
5a + 5(1 + -1a) = a + 8
5a + (1 * 5 + -1a * 5) = a + 8
5a + (5 + -5a) = a + 8

Reorder the terms:
5 + 5a + -5a = a + 8

Combine like terms: 5a + -5a = 0
5 + 0 = a + 8
5 = a + 8

Reorder the terms:
5 = 8 + a

Solving
5 = 8 + a

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.
5 + -1a = 8 + a + -1a

Combine like terms: a + -1a = 0
5 + -1a = 8 + 0
5 + -1a = 8

Add '-5' to each side of the equation.
5 + -5 + -1a = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -1a = 8 + -5
-1a = 8 + -5

Combine like terms: 8 + -5 = 3
-1a = 3

Divide each side by '-1'.
a = -3

Simplifying
a = -3

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