5a-4=5(a+1)+14a+6

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Solution for 5a-4=5(a+1)+14a+6 equation:


Simplifying
5a + -4 = 5(a + 1) + 14a + 6

Reorder the terms:
-4 + 5a = 5(a + 1) + 14a + 6

Reorder the terms:
-4 + 5a = 5(1 + a) + 14a + 6
-4 + 5a = (1 * 5 + a * 5) + 14a + 6
-4 + 5a = (5 + 5a) + 14a + 6

Reorder the terms:
-4 + 5a = 5 + 6 + 5a + 14a

Combine like terms: 5 + 6 = 11
-4 + 5a = 11 + 5a + 14a

Combine like terms: 5a + 14a = 19a
-4 + 5a = 11 + 19a

Solving
-4 + 5a = 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.
-4 + 5a + -19a = 11 + 19a + -19a

Combine like terms: 5a + -19a = -14a
-4 + -14a = 11 + 19a + -19a

Combine like terms: 19a + -19a = 0
-4 + -14a = 11 + 0
-4 + -14a = 11

Add '4' to each side of the equation.
-4 + 4 + -14a = 11 + 4

Combine like terms: -4 + 4 = 0
0 + -14a = 11 + 4
-14a = 11 + 4

Combine like terms: 11 + 4 = 15
-14a = 15

Divide each side by '-14'.
a = -1.071428571

Simplifying
a = -1.071428571

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