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

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Solution for 2a-1=4(a+1)+7a+5 equation:


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

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

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

Reorder the terms:
-1 + 2a = 4 + 5 + 4a + 7a

Combine like terms: 4 + 5 = 9
-1 + 2a = 9 + 4a + 7a

Combine like terms: 4a + 7a = 11a
-1 + 2a = 9 + 11a

Solving
-1 + 2a = 9 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
-1 + 2a + -11a = 9 + 11a + -11a

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

Combine like terms: 11a + -11a = 0
-1 + -9a = 9 + 0
-1 + -9a = 9

Add '1' to each side of the equation.
-1 + 1 + -9a = 9 + 1

Combine like terms: -1 + 1 = 0
0 + -9a = 9 + 1
-9a = 9 + 1

Combine like terms: 9 + 1 = 10
-9a = 10

Divide each side by '-9'.
a = -1.111111111

Simplifying
a = -1.111111111

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