19=5-2(a-6)

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Solution for 19=5-2(a-6) equation:


Simplifying
19 = 5 + -2(a + -6)

Reorder the terms:
19 = 5 + -2(-6 + a)
19 = 5 + (-6 * -2 + a * -2)
19 = 5 + (12 + -2a)

Combine like terms: 5 + 12 = 17
19 = 17 + -2a

Solving
19 = 17 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
19 + 2a = 17 + -2a + 2a

Combine like terms: -2a + 2a = 0
19 + 2a = 17 + 0
19 + 2a = 17

Add '-19' to each side of the equation.
19 + -19 + 2a = 17 + -19

Combine like terms: 19 + -19 = 0
0 + 2a = 17 + -19
2a = 17 + -19

Combine like terms: 17 + -19 = -2
2a = -2

Divide each side by '2'.
a = -1

Simplifying
a = -1

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