3(a-9)-3=-3(-7a+8)-3a

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Solution for 3(a-9)-3=-3(-7a+8)-3a equation:


Simplifying
3(a + -9) + -3 = -3(-7a + 8) + -3a

Reorder the terms:
3(-9 + a) + -3 = -3(-7a + 8) + -3a
(-9 * 3 + a * 3) + -3 = -3(-7a + 8) + -3a
(-27 + 3a) + -3 = -3(-7a + 8) + -3a

Reorder the terms:
-27 + -3 + 3a = -3(-7a + 8) + -3a

Combine like terms: -27 + -3 = -30
-30 + 3a = -3(-7a + 8) + -3a

Reorder the terms:
-30 + 3a = -3(8 + -7a) + -3a
-30 + 3a = (8 * -3 + -7a * -3) + -3a
-30 + 3a = (-24 + 21a) + -3a

Combine like terms: 21a + -3a = 18a
-30 + 3a = -24 + 18a

Solving
-30 + 3a = -24 + 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
-30 + 3a + -18a = -24 + 18a + -18a

Combine like terms: 3a + -18a = -15a
-30 + -15a = -24 + 18a + -18a

Combine like terms: 18a + -18a = 0
-30 + -15a = -24 + 0
-30 + -15a = -24

Add '30' to each side of the equation.
-30 + 30 + -15a = -24 + 30

Combine like terms: -30 + 30 = 0
0 + -15a = -24 + 30
-15a = -24 + 30

Combine like terms: -24 + 30 = 6
-15a = 6

Divide each side by '-15'.
a = -0.4

Simplifying
a = -0.4

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