91=6a+4(2a+4)+a

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Solution for 91=6a+4(2a+4)+a equation: 


Simplifying
91 = 6a + 4(2a + 4) + a

Reorder the terms:
91 = 6a + 4(4 + 2a) + a
91 = 6a + (4 * 4 + 2a * 4) + a
91 = 6a + (16 + 8a) + a

Reorder the terms:
91 = 16 + 6a + 8a + a

Combine like terms: 6a + 8a = 14a
91 = 16 + 14a + a

Combine like terms: 14a + a = 15a
91 = 16 + 15a

Solving
91 = 16 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
91 + -15a = 16 + 15a + -15a

Combine like terms: 15a + -15a = 0
91 + -15a = 16 + 0
91 + -15a = 16

Add '-91' to each side of the equation.
91 + -91 + -15a = 16 + -91

Combine like terms: 91 + -91 = 0
0 + -15a = 16 + -91
-15a = 16 + -91

Combine like terms: 16 + -91 = -75
-15a = -75

Divide each side by '-15'.
a = 5

Simplifying
a = 5

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