[(7a^4-3a^3-8a)+5a^3]-[-(11a^4+2a^3)]=18a^4+4a^3

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Solution for [(7a^4-3a^3-8a)+5a^3]-[-(11a^4+2a^3)]=18a^4+4a^3 equation:


Simplifying
[(7a4 + -3a3 + -8a) + 5a3] + -1[-1(11a4 + 2a3)] = 18a4 + 4a3

Reorder the terms:
[(-8a + -3a3 + 7a4) + 5a3] + -1[-1(11a4 + 2a3)] = 18a4 + 4a3

Remove parenthesis around (-8a + -3a3 + 7a4)
[-8a + -3a3 + 7a4 + 5a3] + -1[-1(11a4 + 2a3)] = 18a4 + 4a3

Reorder the terms:
[-8a + -3a3 + 5a3 + 7a4] + -1[-1(11a4 + 2a3)] = 18a4 + 4a3

Combine like terms: -3a3 + 5a3 = 2a3
[-8a + 2a3 + 7a4] + -1[-1(11a4 + 2a3)] = 18a4 + 4a3

Remove brackets around [-8a + 2a3 + 7a4]
-8a + 2a3 + 7a4 + -1[-1(11a4 + 2a3)] = 18a4 + 4a3

Reorder the terms:
-8a + 2a3 + 7a4 + -1[-1(2a3 + 11a4)] = 18a4 + 4a3
-8a + 2a3 + 7a4 + -1[(2a3 * -1 + 11a4 * -1)] = 18a4 + 4a3
-8a + 2a3 + 7a4 + -1[(-2a3 + -11a4)] = 18a4 + 4a3
-8a + 2a3 + 7a4 + [-2a3 * -1 + -11a4 * -1] = 18a4 + 4a3
-8a + 2a3 + 7a4 + [2a3 + 11a4] = 18a4 + 4a3

Reorder the terms:
-8a + 2a3 + 2a3 + 7a4 + 11a4 = 18a4 + 4a3

Combine like terms: 2a3 + 2a3 = 4a3
-8a + 4a3 + 7a4 + 11a4 = 18a4 + 4a3

Combine like terms: 7a4 + 11a4 = 18a4
-8a + 4a3 + 18a4 = 18a4 + 4a3

Reorder the terms:
-8a + 4a3 + 18a4 = 4a3 + 18a4

Add '-4a3' to each side of the equation.
-8a + 4a3 + -4a3 + 18a4 = 4a3 + -4a3 + 18a4

Combine like terms: 4a3 + -4a3 = 0
-8a + 0 + 18a4 = 4a3 + -4a3 + 18a4
-8a + 18a4 = 4a3 + -4a3 + 18a4

Combine like terms: 4a3 + -4a3 = 0
-8a + 18a4 = 0 + 18a4
-8a + 18a4 = 18a4

Add '-18a4' to each side of the equation.
-8a + 18a4 + -18a4 = 18a4 + -18a4

Combine like terms: 18a4 + -18a4 = 0
-8a + 0 = 18a4 + -18a4
-8a = 18a4 + -18a4

Combine like terms: 18a4 + -18a4 = 0
-8a = 0

Solving
-8a = 0

Solving for variable 'a'.

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

Divide each side by '-8'.
a = 0

Simplifying
a = 0

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