19a-3(a-6)=9

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Solution for 19a-3(a-6)=9 equation:


Simplifying
19a + -3(a + -6) = 9

Reorder the terms:
19a + -3(-6 + a) = 9
19a + (-6 * -3 + a * -3) = 9
19a + (18 + -3a) = 9

Reorder the terms:
18 + 19a + -3a = 9

Combine like terms: 19a + -3a = 16a
18 + 16a = 9

Solving
18 + 16a = 9

Solving for variable 'a'.

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

Add '-18' to each side of the equation.
18 + -18 + 16a = 9 + -18

Combine like terms: 18 + -18 = 0
0 + 16a = 9 + -18
16a = 9 + -18

Combine like terms: 9 + -18 = -9
16a = -9

Divide each side by '16'.
a = -0.5625

Simplifying
a = -0.5625

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