35-8a=7(-2a-7)-8a

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Solution for 35-8a=7(-2a-7)-8a equation: 


Simplifying
35 + -8a = 7(-2a + -7) + -8a

Reorder the terms:
35 + -8a = 7(-7 + -2a) + -8a
35 + -8a = (-7 * 7 + -2a * 7) + -8a
35 + -8a = (-49 + -14a) + -8a

Combine like terms: -14a + -8a = -22a
35 + -8a = -49 + -22a

Solving
35 + -8a = -49 + -22a

Solving for variable 'a'.

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

Add '22a' to each side of the equation.
35 + -8a + 22a = -49 + -22a + 22a

Combine like terms: -8a + 22a = 14a
35 + 14a = -49 + -22a + 22a

Combine like terms: -22a + 22a = 0
35 + 14a = -49 + 0
35 + 14a = -49

Add '-35' to each side of the equation.
35 + -35 + 14a = -49 + -35

Combine like terms: 35 + -35 = 0
0 + 14a = -49 + -35
14a = -49 + -35

Combine like terms: -49 + -35 = -84
14a = -84

Divide each side by '14'.
a = -6

Simplifying
a = -6

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