-6(7-3a)-5(a-3)=51

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Solution for -6(7-3a)-5(a-3)=51 equation: 


Simplifying
-6(7 + -3a) + -5(a + -3) = 51
(7 * -6 + -3a * -6) + -5(a + -3) = 51
(-42 + 18a) + -5(a + -3) = 51

Reorder the terms:
-42 + 18a + -5(-3 + a) = 51
-42 + 18a + (-3 * -5 + a * -5) = 51
-42 + 18a + (15 + -5a) = 51

Reorder the terms:
-42 + 15 + 18a + -5a = 51

Combine like terms: -42 + 15 = -27
-27 + 18a + -5a = 51

Combine like terms: 18a + -5a = 13a
-27 + 13a = 51

Solving
-27 + 13a = 51

Solving for variable 'a'.

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

Add '27' to each side of the equation.
-27 + 27 + 13a = 51 + 27

Combine like terms: -27 + 27 = 0
0 + 13a = 51 + 27
13a = 51 + 27

Combine like terms: 51 + 27 = 78
13a = 78

Divide each side by '13'.
a = 6

Simplifying
a = 6

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