4(a-12)+2(a+6)=-3(a+5)-3

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Solution for 4(a-12)+2(a+6)=-3(a+5)-3 equation:


Simplifying
4(a + -12) + 2(a + 6) = -3(a + 5) + -3

Reorder the terms:
4(-12 + a) + 2(a + 6) = -3(a + 5) + -3
(-12 * 4 + a * 4) + 2(a + 6) = -3(a + 5) + -3
(-48 + 4a) + 2(a + 6) = -3(a + 5) + -3

Reorder the terms:
-48 + 4a + 2(6 + a) = -3(a + 5) + -3
-48 + 4a + (6 * 2 + a * 2) = -3(a + 5) + -3
-48 + 4a + (12 + 2a) = -3(a + 5) + -3

Reorder the terms:
-48 + 12 + 4a + 2a = -3(a + 5) + -3

Combine like terms: -48 + 12 = -36
-36 + 4a + 2a = -3(a + 5) + -3

Combine like terms: 4a + 2a = 6a
-36 + 6a = -3(a + 5) + -3

Reorder the terms:
-36 + 6a = -3(5 + a) + -3
-36 + 6a = (5 * -3 + a * -3) + -3
-36 + 6a = (-15 + -3a) + -3

Reorder the terms:
-36 + 6a = -15 + -3 + -3a

Combine like terms: -15 + -3 = -18
-36 + 6a = -18 + -3a

Solving
-36 + 6a = -18 + -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.
-36 + 6a + 3a = -18 + -3a + 3a

Combine like terms: 6a + 3a = 9a
-36 + 9a = -18 + -3a + 3a

Combine like terms: -3a + 3a = 0
-36 + 9a = -18 + 0
-36 + 9a = -18

Add '36' to each side of the equation.
-36 + 36 + 9a = -18 + 36

Combine like terms: -36 + 36 = 0
0 + 9a = -18 + 36
9a = -18 + 36

Combine like terms: -18 + 36 = 18
9a = 18

Divide each side by '9'.
a = 2

Simplifying
a = 2

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