2(1+9a)=9(a+5)+2

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Solution for 2(1+9a)=9(a+5)+2 equation: 


Simplifying
2(1 + 9a) = 9(a + 5) + 2
(1 * 2 + 9a * 2) = 9(a + 5) + 2
(2 + 18a) = 9(a + 5) + 2

Reorder the terms:
2 + 18a = 9(5 + a) + 2
2 + 18a = (5 * 9 + a * 9) + 2
2 + 18a = (45 + 9a) + 2

Reorder the terms:
2 + 18a = 45 + 2 + 9a

Combine like terms: 45 + 2 = 47
2 + 18a = 47 + 9a

Solving
2 + 18a = 47 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
2 + 18a + -9a = 47 + 9a + -9a

Combine like terms: 18a + -9a = 9a
2 + 9a = 47 + 9a + -9a

Combine like terms: 9a + -9a = 0
2 + 9a = 47 + 0
2 + 9a = 47

Add '-2' to each side of the equation.
2 + -2 + 9a = 47 + -2

Combine like terms: 2 + -2 = 0
0 + 9a = 47 + -2
9a = 47 + -2

Combine like terms: 47 + -2 = 45
9a = 45

Divide each side by '9'.
a = 5

Simplifying
a = 5

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