4(a-3)-7(5-8a)=73

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Solution for 4(a-3)-7(5-8a)=73 equation: 


Simplifying
4(a + -3) + -7(5 + -8a) = 73

Reorder the terms:
4(-3 + a) + -7(5 + -8a) = 73
(-3 * 4 + a * 4) + -7(5 + -8a) = 73
(-12 + 4a) + -7(5 + -8a) = 73
-12 + 4a + (5 * -7 + -8a * -7) = 73
-12 + 4a + (-35 + 56a) = 73

Reorder the terms:
-12 + -35 + 4a + 56a = 73

Combine like terms: -12 + -35 = -47
-47 + 4a + 56a = 73

Combine like terms: 4a + 56a = 60a
-47 + 60a = 73

Solving
-47 + 60a = 73

Solving for variable 'a'.

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

Add '47' to each side of the equation.
-47 + 47 + 60a = 73 + 47

Combine like terms: -47 + 47 = 0
0 + 60a = 73 + 47
60a = 73 + 47

Combine like terms: 73 + 47 = 120
60a = 120

Divide each side by '60'.
a = 2

Simplifying
a = 2

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