4-(a^2-2a-9)=9-(2a+a^2)

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Solution for 4-(a^2-2a-9)=9-(2a+a^2) equation:


Simplifying
4 + -1(a2 + -2a + -9) = 9 + -1(2a + a2)

Reorder the terms:
4 + -1(-9 + -2a + a2) = 9 + -1(2a + a2)
4 + (-9 * -1 + -2a * -1 + a2 * -1) = 9 + -1(2a + a2)
4 + (9 + 2a + -1a2) = 9 + -1(2a + a2)

Combine like terms: 4 + 9 = 13
13 + 2a + -1a2 = 9 + -1(2a + a2)
13 + 2a + -1a2 = 9 + (2a * -1 + a2 * -1)
13 + 2a + -1a2 = 9 + (-2a + -1a2)

Add 'a2' to each side of the equation.
13 + 2a + -1a2 + a2 = 9 + -2a + -1a2 + a2

Combine like terms: -1a2 + a2 = 0
13 + 2a + 0 = 9 + -2a + -1a2 + a2
13 + 2a = 9 + -2a + -1a2 + a2

Combine like terms: -1a2 + a2 = 0
13 + 2a = 9 + -2a + 0
13 + 2a = 9 + -2a

Solving
13 + 2a = 9 + -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.
13 + 2a + 2a = 9 + -2a + 2a

Combine like terms: 2a + 2a = 4a
13 + 4a = 9 + -2a + 2a

Combine like terms: -2a + 2a = 0
13 + 4a = 9 + 0
13 + 4a = 9

Add '-13' to each side of the equation.
13 + -13 + 4a = 9 + -13

Combine like terms: 13 + -13 = 0
0 + 4a = 9 + -13
4a = 9 + -13

Combine like terms: 9 + -13 = -4
4a = -4

Divide each side by '4'.
a = -1

Simplifying
a = -1

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