2-3a=9-2(2a+5)

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Solution for 2-3a=9-2(2a+5) equation:


Simplifying
2 + -3a = 9 + -2(2a + 5)

Reorder the terms:
2 + -3a = 9 + -2(5 + 2a)
2 + -3a = 9 + (5 * -2 + 2a * -2)
2 + -3a = 9 + (-10 + -4a)

Combine like terms: 9 + -10 = -1
2 + -3a = -1 + -4a

Solving
2 + -3a = -1 + -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.
2 + -3a + 4a = -1 + -4a + 4a

Combine like terms: -3a + 4a = 1a
2 + 1a = -1 + -4a + 4a

Combine like terms: -4a + 4a = 0
2 + 1a = -1 + 0
2 + 1a = -1

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

Combine like terms: 2 + -2 = 0
0 + 1a = -1 + -2
1a = -1 + -2

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

Divide each side by '1'.
a = -3

Simplifying
a = -3

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