5a-4(5a+7)=-73

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Solution for 5a-4(5a+7)=-73 equation:


Simplifying
5a + -4(5a + 7) = -73

Reorder the terms:
5a + -4(7 + 5a) = -73
5a + (7 * -4 + 5a * -4) = -73
5a + (-28 + -20a) = -73

Reorder the terms:
-28 + 5a + -20a = -73

Combine like terms: 5a + -20a = -15a
-28 + -15a = -73

Solving
-28 + -15a = -73

Solving for variable 'a'.

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

Add '28' to each side of the equation.
-28 + 28 + -15a = -73 + 28

Combine like terms: -28 + 28 = 0
0 + -15a = -73 + 28
-15a = -73 + 28

Combine like terms: -73 + 28 = -45
-15a = -45

Divide each side by '-15'.
a = 3

Simplifying
a = 3

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