3(a-3)=22(a+4)

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Solution for 3(a-3)=22(a+4) equation:


Simplifying
3(a + -3) = 22(a + 4)

Reorder the terms:
3(-3 + a) = 22(a + 4)
(-3 * 3 + a * 3) = 22(a + 4)
(-9 + 3a) = 22(a + 4)

Reorder the terms:
-9 + 3a = 22(4 + a)
-9 + 3a = (4 * 22 + a * 22)
-9 + 3a = (88 + 22a)

Solving
-9 + 3a = 88 + 22a

Solving for variable 'a'.

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

Add '-22a' to each side of the equation.
-9 + 3a + -22a = 88 + 22a + -22a

Combine like terms: 3a + -22a = -19a
-9 + -19a = 88 + 22a + -22a

Combine like terms: 22a + -22a = 0
-9 + -19a = 88 + 0
-9 + -19a = 88

Add '9' to each side of the equation.
-9 + 9 + -19a = 88 + 9

Combine like terms: -9 + 9 = 0
0 + -19a = 88 + 9
-19a = 88 + 9

Combine like terms: 88 + 9 = 97
-19a = 97

Divide each side by '-19'.
a = -5.105263158

Simplifying
a = -5.105263158

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