2a-11=4(a+1)+17a+5

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Solution for 2a-11=4(a+1)+17a+5 equation:


Simplifying
2a + -11 = 4(a + 1) + 17a + 5

Reorder the terms:
-11 + 2a = 4(a + 1) + 17a + 5

Reorder the terms:
-11 + 2a = 4(1 + a) + 17a + 5
-11 + 2a = (1 * 4 + a * 4) + 17a + 5
-11 + 2a = (4 + 4a) + 17a + 5

Reorder the terms:
-11 + 2a = 4 + 5 + 4a + 17a

Combine like terms: 4 + 5 = 9
-11 + 2a = 9 + 4a + 17a

Combine like terms: 4a + 17a = 21a
-11 + 2a = 9 + 21a

Solving
-11 + 2a = 9 + 21a

Solving for variable 'a'.

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

Add '-21a' to each side of the equation.
-11 + 2a + -21a = 9 + 21a + -21a

Combine like terms: 2a + -21a = -19a
-11 + -19a = 9 + 21a + -21a

Combine like terms: 21a + -21a = 0
-11 + -19a = 9 + 0
-11 + -19a = 9

Add '11' to each side of the equation.
-11 + 11 + -19a = 9 + 11

Combine like terms: -11 + 11 = 0
0 + -19a = 9 + 11
-19a = 9 + 11

Combine like terms: 9 + 11 = 20
-19a = 20

Divide each side by '-19'.
a = -1.052631579

Simplifying
a = -1.052631579

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