17a-9(a+1)=5(a-2)

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Solution for 17a-9(a+1)=5(a-2) equation:


Simplifying
17a + -9(a + 1) = 5(a + -2)

Reorder the terms:
17a + -9(1 + a) = 5(a + -2)
17a + (1 * -9 + a * -9) = 5(a + -2)
17a + (-9 + -9a) = 5(a + -2)

Reorder the terms:
-9 + 17a + -9a = 5(a + -2)

Combine like terms: 17a + -9a = 8a
-9 + 8a = 5(a + -2)

Reorder the terms:
-9 + 8a = 5(-2 + a)
-9 + 8a = (-2 * 5 + a * 5)
-9 + 8a = (-10 + 5a)

Solving
-9 + 8a = -10 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-9 + 8a + -5a = -10 + 5a + -5a

Combine like terms: 8a + -5a = 3a
-9 + 3a = -10 + 5a + -5a

Combine like terms: 5a + -5a = 0
-9 + 3a = -10 + 0
-9 + 3a = -10

Add '9' to each side of the equation.
-9 + 9 + 3a = -10 + 9

Combine like terms: -9 + 9 = 0
0 + 3a = -10 + 9
3a = -10 + 9

Combine like terms: -10 + 9 = -1
3a = -1

Divide each side by '3'.
a = -0.3333333333

Simplifying
a = -0.3333333333

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