5(a+3)=a

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


Simplifying
5(a + 3) = a

Reorder the terms:
5(3 + a) = a
(3 * 5 + a * 5) = a
(15 + 5a) = a

Solving
15 + 5a = 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.
15 + 5a + -1a = a + -1a

Combine like terms: 5a + -1a = 4a
15 + 4a = a + -1a

Combine like terms: a + -1a = 0
15 + 4a = 0

Add '-15' to each side of the equation.
15 + -15 + 4a = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4a = 0 + -15
4a = 0 + -15

Combine like terms: 0 + -15 = -15
4a = -15

Divide each side by '4'.
a = -3.75

Simplifying
a = -3.75

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