2-(9a+5)=5-7a-5(a+4)

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Solution for 2-(9a+5)=5-7a-5(a+4) equation:


Simplifying
2 + -1(9a + 5) = 5 + -7a + -5(a + 4)

Reorder the terms:
2 + -1(5 + 9a) = 5 + -7a + -5(a + 4)
2 + (5 * -1 + 9a * -1) = 5 + -7a + -5(a + 4)
2 + (-5 + -9a) = 5 + -7a + -5(a + 4)

Combine like terms: 2 + -5 = -3
-3 + -9a = 5 + -7a + -5(a + 4)

Reorder the terms:
-3 + -9a = 5 + -7a + -5(4 + a)
-3 + -9a = 5 + -7a + (4 * -5 + a * -5)
-3 + -9a = 5 + -7a + (-20 + -5a)

Reorder the terms:
-3 + -9a = 5 + -20 + -7a + -5a

Combine like terms: 5 + -20 = -15
-3 + -9a = -15 + -7a + -5a

Combine like terms: -7a + -5a = -12a
-3 + -9a = -15 + -12a

Solving
-3 + -9a = -15 + -12a

Solving for variable 'a'.

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

Add '12a' to each side of the equation.
-3 + -9a + 12a = -15 + -12a + 12a

Combine like terms: -9a + 12a = 3a
-3 + 3a = -15 + -12a + 12a

Combine like terms: -12a + 12a = 0
-3 + 3a = -15 + 0
-3 + 3a = -15

Add '3' to each side of the equation.
-3 + 3 + 3a = -15 + 3

Combine like terms: -3 + 3 = 0
0 + 3a = -15 + 3
3a = -15 + 3

Combine like terms: -15 + 3 = -12
3a = -12

Divide each side by '3'.
a = -4

Simplifying
a = -4

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