-4(a+3)+2=-3a-19

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Solution for -4(a+3)+2=-3a-19 equation:


Simplifying
-4(a + 3) + 2 = -3a + -19

Reorder the terms:
-4(3 + a) + 2 = -3a + -19
(3 * -4 + a * -4) + 2 = -3a + -19
(-12 + -4a) + 2 = -3a + -19

Reorder the terms:
-12 + 2 + -4a = -3a + -19

Combine like terms: -12 + 2 = -10
-10 + -4a = -3a + -19

Reorder the terms:
-10 + -4a = -19 + -3a

Solving
-10 + -4a = -19 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
-10 + -4a + 3a = -19 + -3a + 3a

Combine like terms: -4a + 3a = -1a
-10 + -1a = -19 + -3a + 3a

Combine like terms: -3a + 3a = 0
-10 + -1a = -19 + 0
-10 + -1a = -19

Add '10' to each side of the equation.
-10 + 10 + -1a = -19 + 10

Combine like terms: -10 + 10 = 0
0 + -1a = -19 + 10
-1a = -19 + 10

Combine like terms: -19 + 10 = -9
-1a = -9

Divide each side by '-1'.
a = 9

Simplifying
a = 9

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