2a-8=5(a+1)+14a+6

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Solution for 2a-8=5(a+1)+14a+6 equation:


Simplifying
2a + -8 = 5(a + 1) + 14a + 6

Reorder the terms:
-8 + 2a = 5(a + 1) + 14a + 6

Reorder the terms:
-8 + 2a = 5(1 + a) + 14a + 6
-8 + 2a = (1 * 5 + a * 5) + 14a + 6
-8 + 2a = (5 + 5a) + 14a + 6

Reorder the terms:
-8 + 2a = 5 + 6 + 5a + 14a

Combine like terms: 5 + 6 = 11
-8 + 2a = 11 + 5a + 14a

Combine like terms: 5a + 14a = 19a
-8 + 2a = 11 + 19a

Solving
-8 + 2a = 11 + 19a

Solving for variable 'a'.

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

Add '-19a' to each side of the equation.
-8 + 2a + -19a = 11 + 19a + -19a

Combine like terms: 2a + -19a = -17a
-8 + -17a = 11 + 19a + -19a

Combine like terms: 19a + -19a = 0
-8 + -17a = 11 + 0
-8 + -17a = 11

Add '8' to each side of the equation.
-8 + 8 + -17a = 11 + 8

Combine like terms: -8 + 8 = 0
0 + -17a = 11 + 8
-17a = 11 + 8

Combine like terms: 11 + 8 = 19
-17a = 19

Divide each side by '-17'.
a = -1.117647059

Simplifying
a = -1.117647059

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