3(2a+7)=-3a-12

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Solution for 3(2a+7)=-3a-12 equation:


Simplifying
3(2a + 7) = -3a + -12

Reorder the terms:
3(7 + 2a) = -3a + -12
(7 * 3 + 2a * 3) = -3a + -12
(21 + 6a) = -3a + -12

Reorder the terms:
21 + 6a = -12 + -3a

Solving
21 + 6a = -12 + -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.
21 + 6a + 3a = -12 + -3a + 3a

Combine like terms: 6a + 3a = 9a
21 + 9a = -12 + -3a + 3a

Combine like terms: -3a + 3a = 0
21 + 9a = -12 + 0
21 + 9a = -12

Add '-21' to each side of the equation.
21 + -21 + 9a = -12 + -21

Combine like terms: 21 + -21 = 0
0 + 9a = -12 + -21
9a = -12 + -21

Combine like terms: -12 + -21 = -33
9a = -33

Divide each side by '9'.
a = -3.666666667

Simplifying
a = -3.666666667

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