1+2a-7+9a+5=9a+3a+8-5a-6

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Solution for 1+2a-7+9a+5=9a+3a+8-5a-6 equation:


Simplifying
1 + 2a + -7 + 9a + 5 = 9a + 3a + 8 + -5a + -6

Reorder the terms:
1 + -7 + 5 + 2a + 9a = 9a + 3a + 8 + -5a + -6

Combine like terms: 1 + -7 = -6
-6 + 5 + 2a + 9a = 9a + 3a + 8 + -5a + -6

Combine like terms: -6 + 5 = -1
-1 + 2a + 9a = 9a + 3a + 8 + -5a + -6

Combine like terms: 2a + 9a = 11a
-1 + 11a = 9a + 3a + 8 + -5a + -6

Reorder the terms:
-1 + 11a = 8 + -6 + 9a + 3a + -5a

Combine like terms: 8 + -6 = 2
-1 + 11a = 2 + 9a + 3a + -5a

Combine like terms: 9a + 3a = 12a
-1 + 11a = 2 + 12a + -5a

Combine like terms: 12a + -5a = 7a
-1 + 11a = 2 + 7a

Solving
-1 + 11a = 2 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-1 + 11a + -7a = 2 + 7a + -7a

Combine like terms: 11a + -7a = 4a
-1 + 4a = 2 + 7a + -7a

Combine like terms: 7a + -7a = 0
-1 + 4a = 2 + 0
-1 + 4a = 2

Add '1' to each side of the equation.
-1 + 1 + 4a = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 4a = 2 + 1
4a = 2 + 1

Combine like terms: 2 + 1 = 3
4a = 3

Divide each side by '4'.
a = 0.75

Simplifying
a = 0.75

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