5((-7a)-6)+7(8+2a)=(-79)

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Solution for 5((-7a)-6)+7(8+2a)=(-79) equation:


Simplifying
5((-7a) + -6) + 7(8 + 2a) = (-79)

Reorder the terms:
5(-6 + (-7a)) + 7(8 + 2a) = (-79)
(-6 * 5 + (-7a) * 5) + 7(8 + 2a) = (-79)
(-30 + -35a) + 7(8 + 2a) = (-79)
-30 + -35a + (8 * 7 + 2a * 7) = (-79)
-30 + -35a + (56 + 14a) = (-79)

Reorder the terms:
-30 + 56 + -35a + 14a = (-79)

Combine like terms: -30 + 56 = 26
26 + -35a + 14a = (-79)

Combine like terms: -35a + 14a = -21a
26 + -21a = (-79)
26 + -21a = -79

Solving
26 + -21a = -79

Solving for variable 'a'.

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

Add '-26' to each side of the equation.
26 + -26 + -21a = -79 + -26

Combine like terms: 26 + -26 = 0
0 + -21a = -79 + -26
-21a = -79 + -26

Combine like terms: -79 + -26 = -105
-21a = -105

Divide each side by '-21'.
a = 5

Simplifying
a = 5

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