3(a-17)+2(a+41)=a+5

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Solution for 3(a-17)+2(a+41)=a+5 equation: 


Simplifying
3(a + -17) + 2(a + 41) = a + 5

Reorder the terms:
3(-17 + a) + 2(a + 41) = a + 5
(-17 * 3 + a * 3) + 2(a + 41) = a + 5
(-51 + 3a) + 2(a + 41) = a + 5

Reorder the terms:
-51 + 3a + 2(41 + a) = a + 5
-51 + 3a + (41 * 2 + a * 2) = a + 5
-51 + 3a + (82 + 2a) = a + 5

Reorder the terms:
-51 + 82 + 3a + 2a = a + 5

Combine like terms: -51 + 82 = 31
31 + 3a + 2a = a + 5

Combine like terms: 3a + 2a = 5a
31 + 5a = a + 5

Reorder the terms:
31 + 5a = 5 + a

Solving
31 + 5a = 5 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
31 + 5a + -1a = 5 + a + -1a

Combine like terms: 5a + -1a = 4a
31 + 4a = 5 + a + -1a

Combine like terms: a + -1a = 0
31 + 4a = 5 + 0
31 + 4a = 5

Add '-31' to each side of the equation.
31 + -31 + 4a = 5 + -31

Combine like terms: 31 + -31 = 0
0 + 4a = 5 + -31
4a = 5 + -31

Combine like terms: 5 + -31 = -26
4a = -26

Divide each side by '4'.
a = -6.5

Simplifying
a = -6.5

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