3[2a-5(a+4)]-2=9

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Solution for 3[2a-5(a+4)]-2=9 equation:


Simplifying
3[2a + -5(a + 4)] + -2 = 9

Reorder the terms:
3[2a + -5(4 + a)] + -2 = 9
3[2a + (4 * -5 + a * -5)] + -2 = 9
3[2a + (-20 + -5a)] + -2 = 9

Reorder the terms:
3[-20 + 2a + -5a] + -2 = 9

Combine like terms: 2a + -5a = -3a
3[-20 + -3a] + -2 = 9
[-20 * 3 + -3a * 3] + -2 = 9
[-60 + -9a] + -2 = 9

Reorder the terms:
-60 + -2 + -9a = 9

Combine like terms: -60 + -2 = -62
-62 + -9a = 9

Solving
-62 + -9a = 9

Solving for variable 'a'.

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

Add '62' to each side of the equation.
-62 + 62 + -9a = 9 + 62

Combine like terms: -62 + 62 = 0
0 + -9a = 9 + 62
-9a = 9 + 62

Combine like terms: 9 + 62 = 71
-9a = 71

Divide each side by '-9'.
a = -7.888888889

Simplifying
a = -7.888888889

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