[9(a+4)-16]-[3(a-3)+2]=

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Solution for [9(a+4)-16]-[3(a-3)+2]= equation:


Simplifying
[9(a + 4) + -16] + -1[3(a + -3) + 2] = 0

Reorder the terms:
[9(4 + a) + -16] + -1[3(a + -3) + 2] = 0
[(4 * 9 + a * 9) + -16] + -1[3(a + -3) + 2] = 0
[(36 + 9a) + -16] + -1[3(a + -3) + 2] = 0

Reorder the terms:
[36 + -16 + 9a] + -1[3(a + -3) + 2] = 0

Combine like terms: 36 + -16 = 20
[20 + 9a] + -1[3(a + -3) + 2] = 0

Remove brackets around [20 + 9a]
20 + 9a + -1[3(a + -3) + 2] = 0

Reorder the terms:
20 + 9a + -1[3(-3 + a) + 2] = 0
20 + 9a + -1[(-3 * 3 + a * 3) + 2] = 0
20 + 9a + -1[(-9 + 3a) + 2] = 0

Reorder the terms:
20 + 9a + -1[-9 + 2 + 3a] = 0

Combine like terms: -9 + 2 = -7
20 + 9a + -1[-7 + 3a] = 0
20 + 9a + [-7 * -1 + 3a * -1] = 0
20 + 9a + [7 + -3a] = 0

Reorder the terms:
20 + 7 + 9a + -3a = 0

Combine like terms: 20 + 7 = 27
27 + 9a + -3a = 0

Combine like terms: 9a + -3a = 6a
27 + 6a = 0

Solving
27 + 6a = 0

Solving for variable 'a'.

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

Add '-27' to each side of the equation.
27 + -27 + 6a = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 6a = 0 + -27
6a = 0 + -27

Combine like terms: 0 + -27 = -27
6a = -27

Divide each side by '6'.
a = -4.5

Simplifying
a = -4.5

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