311=-5(7a-7)-4

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Solution for 311=-5(7a-7)-4 equation: 


Simplifying
311 = -5(7a + -7) + -4

Reorder the terms:
311 = -5(-7 + 7a) + -4
311 = (-7 * -5 + 7a * -5) + -4
311 = (35 + -35a) + -4

Reorder the terms:
311 = 35 + -4 + -35a

Combine like terms: 35 + -4 = 31
311 = 31 + -35a

Solving
311 = 31 + -35a

Solving for variable 'a'.

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

Add '35a' to each side of the equation.
311 + 35a = 31 + -35a + 35a

Combine like terms: -35a + 35a = 0
311 + 35a = 31 + 0
311 + 35a = 31

Add '-311' to each side of the equation.
311 + -311 + 35a = 31 + -311

Combine like terms: 311 + -311 = 0
0 + 35a = 31 + -311
35a = 31 + -311

Combine like terms: 31 + -311 = -280
35a = -280

Divide each side by '35'.
a = -8

Simplifying
a = -8

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