4a-6(a-9)=16

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Solution for 4a-6(a-9)=16 equation:


Simplifying
4a + -6(a + -9) = 16

Reorder the terms:
4a + -6(-9 + a) = 16
4a + (-9 * -6 + a * -6) = 16
4a + (54 + -6a) = 16

Reorder the terms:
54 + 4a + -6a = 16

Combine like terms: 4a + -6a = -2a
54 + -2a = 16

Solving
54 + -2a = 16

Solving for variable 'a'.

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

Add '-54' to each side of the equation.
54 + -54 + -2a = 16 + -54

Combine like terms: 54 + -54 = 0
0 + -2a = 16 + -54
-2a = 16 + -54

Combine like terms: 16 + -54 = -38
-2a = -38

Divide each side by '-2'.
a = 19

Simplifying
a = 19

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