2(a-8)+3(a+6)=17

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Solution for 2(a-8)+3(a+6)=17 equation: 


Simplifying
2(a + -8) + 3(a + 6) = 17

Reorder the terms:
2(-8 + a) + 3(a + 6) = 17
(-8 * 2 + a * 2) + 3(a + 6) = 17
(-16 + 2a) + 3(a + 6) = 17

Reorder the terms:
-16 + 2a + 3(6 + a) = 17
-16 + 2a + (6 * 3 + a * 3) = 17
-16 + 2a + (18 + 3a) = 17

Reorder the terms:
-16 + 18 + 2a + 3a = 17

Combine like terms: -16 + 18 = 2
2 + 2a + 3a = 17

Combine like terms: 2a + 3a = 5a
2 + 5a = 17

Solving
2 + 5a = 17

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2 + 5a = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 5a = 17 + -2
5a = 17 + -2

Combine like terms: 17 + -2 = 15
5a = 15

Divide each side by '5'.
a = 3

Simplifying
a = 3

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