7(5a-4)-1=13-8a

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Solution for 7(5a-4)-1=13-8a equation:


Simplifying
7(5a + -4) + -1 = 13 + -8a

Reorder the terms:
7(-4 + 5a) + -1 = 13 + -8a
(-4 * 7 + 5a * 7) + -1 = 13 + -8a
(-28 + 35a) + -1 = 13 + -8a

Reorder the terms:
-28 + -1 + 35a = 13 + -8a

Combine like terms: -28 + -1 = -29
-29 + 35a = 13 + -8a

Solving
-29 + 35a = 13 + -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.
-29 + 35a + 8a = 13 + -8a + 8a

Combine like terms: 35a + 8a = 43a
-29 + 43a = 13 + -8a + 8a

Combine like terms: -8a + 8a = 0
-29 + 43a = 13 + 0
-29 + 43a = 13

Add '29' to each side of the equation.
-29 + 29 + 43a = 13 + 29

Combine like terms: -29 + 29 = 0
0 + 43a = 13 + 29
43a = 13 + 29

Combine like terms: 13 + 29 = 42
43a = 42

Divide each side by '43'.
a = 0.976744186

Simplifying
a = 0.976744186

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