6-3a=9-2(2a+8)

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Solution for 6-3a=9-2(2a+8) equation:


Simplifying
6 + -3a = 9 + -2(2a + 8)

Reorder the terms:
6 + -3a = 9 + -2(8 + 2a)
6 + -3a = 9 + (8 * -2 + 2a * -2)
6 + -3a = 9 + (-16 + -4a)

Combine like terms: 9 + -16 = -7
6 + -3a = -7 + -4a

Solving
6 + -3a = -7 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
6 + -3a + 4a = -7 + -4a + 4a

Combine like terms: -3a + 4a = 1a
6 + 1a = -7 + -4a + 4a

Combine like terms: -4a + 4a = 0
6 + 1a = -7 + 0
6 + 1a = -7

Add '-6' to each side of the equation.
6 + -6 + 1a = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = -7 + -6
1a = -7 + -6

Combine like terms: -7 + -6 = -13
1a = -13

Divide each side by '1'.
a = -13

Simplifying
a = -13

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