7(5a-4)=15-8a

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Solution for 7(5a-4)=15-8a equation:


Simplifying
7(5a + -4) = 15 + -8a

Reorder the terms:
7(-4 + 5a) = 15 + -8a
(-4 * 7 + 5a * 7) = 15 + -8a
(-28 + 35a) = 15 + -8a

Solving
-28 + 35a = 15 + -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.
-28 + 35a + 8a = 15 + -8a + 8a

Combine like terms: 35a + 8a = 43a
-28 + 43a = 15 + -8a + 8a

Combine like terms: -8a + 8a = 0
-28 + 43a = 15 + 0
-28 + 43a = 15

Add '28' to each side of the equation.
-28 + 28 + 43a = 15 + 28

Combine like terms: -28 + 28 = 0
0 + 43a = 15 + 28
43a = 15 + 28

Combine like terms: 15 + 28 = 43
43a = 43

Divide each side by '43'.
a = 1

Simplifying
a = 1

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