2a+3(3a+5)=2a

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Solution for 2a+3(3a+5)=2a equation:


Simplifying
2a + 3(3a + 5) = 2a

Reorder the terms:
2a + 3(5 + 3a) = 2a
2a + (5 * 3 + 3a * 3) = 2a
2a + (15 + 9a) = 2a

Reorder the terms:
15 + 2a + 9a = 2a

Combine like terms: 2a + 9a = 11a
15 + 11a = 2a

Solving
15 + 11a = 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
15 + 11a + -2a = 2a + -2a

Combine like terms: 11a + -2a = 9a
15 + 9a = 2a + -2a

Combine like terms: 2a + -2a = 0
15 + 9a = 0

Add '-15' to each side of the equation.
15 + -15 + 9a = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 9a = 0 + -15
9a = 0 + -15

Combine like terms: 0 + -15 = -15
9a = -15

Divide each side by '9'.
a = -1.666666667

Simplifying
a = -1.666666667

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