3[a-5]+19=-2

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Solution for 3[a-5]+19=-2 equation:


Simplifying
3[a + -5] + 19 = -2

Reorder the terms:
3[-5 + a] + 19 = -2
[-5 * 3 + a * 3] + 19 = -2
[-15 + 3a] + 19 = -2

Reorder the terms:
-15 + 19 + 3a = -2

Combine like terms: -15 + 19 = 4
4 + 3a = -2

Solving
4 + 3a = -2

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -4 + 3a = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 3a = -2 + -4
3a = -2 + -4

Combine like terms: -2 + -4 = -6
3a = -6

Divide each side by '3'.
a = -2

Simplifying
a = -2

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