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 = 34
34 + 2a + 3a = 17

Combine like terms: 2a + 3a = 5a
34 + 5a = 17

Solving
34 + 5a = 17

Solving for variable 'a'.

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

Add '-34' to each side of the equation.
34 + -34 + 5a = 17 + -34

Combine like terms: 34 + -34 = 0
0 + 5a = 17 + -34
5a = 17 + -34

Combine like terms: 17 + -34 = -17
5a = -17

Divide each side by '5'.
a = -3.4

Simplifying
a = -3.4

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