7(5a)-1=14-8a

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Solution for 7(5a)-1=14-8a equation:


Simplifying
7(5a) + -1 = 14 + -8a

Remove parenthesis around (5a)
7 * 5a + -1 = 14 + -8a

Multiply 7 * 5
35a + -1 = 14 + -8a

Reorder the terms:
-1 + 35a = 14 + -8a

Solving
-1 + 35a = 14 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
-1 + 35a + 8a = 14 + -8a + 8a

Combine like terms: 35a + 8a = 43a
-1 + 43a = 14 + -8a + 8a

Combine like terms: -8a + 8a = 0
-1 + 43a = 14 + 0
-1 + 43a = 14

Add '1' to each side of the equation.
-1 + 1 + 43a = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 43a = 14 + 1
43a = 14 + 1

Combine like terms: 14 + 1 = 15
43a = 15

Divide each side by '43'.
a = 0.3488372093

Simplifying
a = 0.3488372093

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