-4(2a+9)=-4a-5(a+4)

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


Simplifying
-4(2a + 9) = -4a + -5(a + 4)

Reorder the terms:
-4(9 + 2a) = -4a + -5(a + 4)
(9 * -4 + 2a * -4) = -4a + -5(a + 4)
(-36 + -8a) = -4a + -5(a + 4)

Reorder the terms:
-36 + -8a = -4a + -5(4 + a)
-36 + -8a = -4a + (4 * -5 + a * -5)
-36 + -8a = -4a + (-20 + -5a)

Reorder the terms:
-36 + -8a = -20 + -4a + -5a

Combine like terms: -4a + -5a = -9a
-36 + -8a = -20 + -9a

Solving
-36 + -8a = -20 + -9a

Solving for variable 'a'.

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

Add '9a' to each side of the equation.
-36 + -8a + 9a = -20 + -9a + 9a

Combine like terms: -8a + 9a = 1a
-36 + 1a = -20 + -9a + 9a

Combine like terms: -9a + 9a = 0
-36 + 1a = -20 + 0
-36 + 1a = -20

Add '36' to each side of the equation.
-36 + 36 + 1a = -20 + 36

Combine like terms: -36 + 36 = 0
0 + 1a = -20 + 36
1a = -20 + 36

Combine like terms: -20 + 36 = 16
1a = 16

Divide each side by '1'.
a = 16

Simplifying
a = 16

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