7a-3(a+1)=6-5a

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Solution for 7a-3(a+1)=6-5a equation:


Simplifying
7a + -3(a + 1) = 6 + -5a

Reorder the terms:
7a + -3(1 + a) = 6 + -5a
7a + (1 * -3 + a * -3) = 6 + -5a
7a + (-3 + -3a) = 6 + -5a

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

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

Solving
-3 + 4a = 6 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
-3 + 4a + 5a = 6 + -5a + 5a

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

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

Add '3' to each side of the equation.
-3 + 3 + 9a = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 9a = 6 + 3
9a = 6 + 3

Combine like terms: 6 + 3 = 9
9a = 9

Divide each side by '9'.
a = 1

Simplifying
a = 1

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