16-2(a-4)=a-30

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Solution for 16-2(a-4)=a-30 equation:


Simplifying
16 + -2(a + -4) = a + -30

Reorder the terms:
16 + -2(-4 + a) = a + -30
16 + (-4 * -2 + a * -2) = a + -30
16 + (8 + -2a) = a + -30

Combine like terms: 16 + 8 = 24
24 + -2a = a + -30

Reorder the terms:
24 + -2a = -30 + a

Solving
24 + -2a = -30 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
24 + -2a + -1a = -30 + a + -1a

Combine like terms: -2a + -1a = -3a
24 + -3a = -30 + a + -1a

Combine like terms: a + -1a = 0
24 + -3a = -30 + 0
24 + -3a = -30

Add '-24' to each side of the equation.
24 + -24 + -3a = -30 + -24

Combine like terms: 24 + -24 = 0
0 + -3a = -30 + -24
-3a = -30 + -24

Combine like terms: -30 + -24 = -54
-3a = -54

Divide each side by '-3'.
a = 18

Simplifying
a = 18

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