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

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


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

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

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

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

Combine like terms: 6 + 6 = 12
-4 + 5a = 12 + 6a + 14a

Combine like terms: 6a + 14a = 20a
-4 + 5a = 12 + 20a

Solving
-4 + 5a = 12 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
-4 + 5a + -20a = 12 + 20a + -20a

Combine like terms: 5a + -20a = -15a
-4 + -15a = 12 + 20a + -20a

Combine like terms: 20a + -20a = 0
-4 + -15a = 12 + 0
-4 + -15a = 12

Add '4' to each side of the equation.
-4 + 4 + -15a = 12 + 4

Combine like terms: -4 + 4 = 0
0 + -15a = 12 + 4
-15a = 12 + 4

Combine like terms: 12 + 4 = 16
-15a = 16

Divide each side by '-15'.
a = -1.066666667

Simplifying
a = -1.066666667

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