2(7+6a)-3(-7+3a)=41

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Solution for 2(7+6a)-3(-7+3a)=41 equation: 


Simplifying
2(7 + 6a) + -3(-7 + 3a) = 41
(7 * 2 + 6a * 2) + -3(-7 + 3a) = 41
(14 + 12a) + -3(-7 + 3a) = 41
14 + 12a + (-7 * -3 + 3a * -3) = 41
14 + 12a + (21 + -9a) = 41

Reorder the terms:
14 + 21 + 12a + -9a = 41

Combine like terms: 14 + 21 = 35
35 + 12a + -9a = 41

Combine like terms: 12a + -9a = 3a
35 + 3a = 41

Solving
35 + 3a = 41

Solving for variable 'a'.

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

Add '-35' to each side of the equation.
35 + -35 + 3a = 41 + -35

Combine like terms: 35 + -35 = 0
0 + 3a = 41 + -35
3a = 41 + -35

Combine like terms: 41 + -35 = 6
3a = 6

Divide each side by '3'.
a = 2

Simplifying
a = 2

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