3a-11=8(a+1)+14a+1

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Solution for 3a-11=8(a+1)+14a+1 equation:


Simplifying
3a + -11 = 8(a + 1) + 14a + 1

Reorder the terms:
-11 + 3a = 8(a + 1) + 14a + 1

Reorder the terms:
-11 + 3a = 8(1 + a) + 14a + 1
-11 + 3a = (1 * 8 + a * 8) + 14a + 1
-11 + 3a = (8 + 8a) + 14a + 1

Reorder the terms:
-11 + 3a = 8 + 1 + 8a + 14a

Combine like terms: 8 + 1 = 9
-11 + 3a = 9 + 8a + 14a

Combine like terms: 8a + 14a = 22a
-11 + 3a = 9 + 22a

Solving
-11 + 3a = 9 + 22a

Solving for variable 'a'.

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

Add '-22a' to each side of the equation.
-11 + 3a + -22a = 9 + 22a + -22a

Combine like terms: 3a + -22a = -19a
-11 + -19a = 9 + 22a + -22a

Combine like terms: 22a + -22a = 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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