5a+9(5+a)=3(2a+6)

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Solution for 5a+9(5+a)=3(2a+6) equation:


Simplifying
5a + 9(5 + a) = 3(2a + 6)
5a + (5 * 9 + a * 9) = 3(2a + 6)
5a + (45 + 9a) = 3(2a + 6)

Reorder the terms:
45 + 5a + 9a = 3(2a + 6)

Combine like terms: 5a + 9a = 14a
45 + 14a = 3(2a + 6)

Reorder the terms:
45 + 14a = 3(6 + 2a)
45 + 14a = (6 * 3 + 2a * 3)
45 + 14a = (18 + 6a)

Solving
45 + 14a = 18 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
45 + 14a + -6a = 18 + 6a + -6a

Combine like terms: 14a + -6a = 8a
45 + 8a = 18 + 6a + -6a

Combine like terms: 6a + -6a = 0
45 + 8a = 18 + 0
45 + 8a = 18

Add '-45' to each side of the equation.
45 + -45 + 8a = 18 + -45

Combine like terms: 45 + -45 = 0
0 + 8a = 18 + -45
8a = 18 + -45

Combine like terms: 18 + -45 = -27
8a = -27

Divide each side by '8'.
a = -3.375

Simplifying
a = -3.375

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