(2a-3)+(4a+9)-(5a+7)=

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Solution for (2a-3)+(4a+9)-(5a+7)= equation:


Simplifying
(2a + -3) + (4a + 9) + -1(5a + 7) = 0

Reorder the terms:
(-3 + 2a) + (4a + 9) + -1(5a + 7) = 0

Remove parenthesis around (-3 + 2a)
-3 + 2a + (4a + 9) + -1(5a + 7) = 0

Reorder the terms:
-3 + 2a + (9 + 4a) + -1(5a + 7) = 0

Remove parenthesis around (9 + 4a)
-3 + 2a + 9 + 4a + -1(5a + 7) = 0

Reorder the terms:
-3 + 2a + 9 + 4a + -1(7 + 5a) = 0
-3 + 2a + 9 + 4a + (7 * -1 + 5a * -1) = 0
-3 + 2a + 9 + 4a + (-7 + -5a) = 0

Reorder the terms:
-3 + 9 + -7 + 2a + 4a + -5a = 0

Combine like terms: -3 + 9 = 6
6 + -7 + 2a + 4a + -5a = 0

Combine like terms: 6 + -7 = -1
-1 + 2a + 4a + -5a = 0

Combine like terms: 2a + 4a = 6a
-1 + 6a + -5a = 0

Combine like terms: 6a + -5a = 1a
-1 + 1a = 0

Solving
-1 + 1a = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 1a = 0 + 1

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

Combine like terms: 0 + 1 = 1
1a = 1

Divide each side by '1'.
a = 1

Simplifying
a = 1

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