5a-6=6(a+1)+16a+6

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Solution for 5a-6=6(a+1)+16a+6 equation:


Simplifying
5a + -6 = 6(a + 1) + 16a + 6

Reorder the terms:
-6 + 5a = 6(a + 1) + 16a + 6

Reorder the terms:
-6 + 5a = 6(1 + a) + 16a + 6
-6 + 5a = (1 * 6 + a * 6) + 16a + 6
-6 + 5a = (6 + 6a) + 16a + 6

Reorder the terms:
-6 + 5a = 6 + 6 + 6a + 16a

Combine like terms: 6 + 6 = 12
-6 + 5a = 12 + 6a + 16a

Combine like terms: 6a + 16a = 22a
-6 + 5a = 12 + 22a

Solving
-6 + 5a = 12 + 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.
-6 + 5a + -22a = 12 + 22a + -22a

Combine like terms: 5a + -22a = -17a
-6 + -17a = 12 + 22a + -22a

Combine like terms: 22a + -22a = 0
-6 + -17a = 12 + 0
-6 + -17a = 12

Add '6' to each side of the equation.
-6 + 6 + -17a = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -17a = 12 + 6
-17a = 12 + 6

Combine like terms: 12 + 6 = 18
-17a = 18

Divide each side by '-17'.
a = -1.058823529

Simplifying
a = -1.058823529

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