7a-4a+5=6+7a-9a+1

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Solution for 7a-4a+5=6+7a-9a+1 equation:


Simplifying
7a + -4a + 5 = 6 + 7a + -9a + 1

Reorder the terms:
5 + 7a + -4a = 6 + 7a + -9a + 1

Combine like terms: 7a + -4a = 3a
5 + 3a = 6 + 7a + -9a + 1

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

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

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

Solving
5 + 3a = 7 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
5 + 3a + 2a = 7 + -2a + 2a

Combine like terms: 3a + 2a = 5a
5 + 5a = 7 + -2a + 2a

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

Add '-5' to each side of the equation.
5 + -5 + 5a = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 5a = 7 + -5
5a = 7 + -5

Combine like terms: 7 + -5 = 2
5a = 2

Divide each side by '5'.
a = 0.4

Simplifying
a = 0.4

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