5a-4(3a+7)=47

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Solution for 5a-4(3a+7)=47 equation:


Simplifying
5a + -4(3a + 7) = 47

Reorder the terms:
5a + -4(7 + 3a) = 47
5a + (7 * -4 + 3a * -4) = 47
5a + (-28 + -12a) = 47

Reorder the terms:
-28 + 5a + -12a = 47

Combine like terms: 5a + -12a = -7a
-28 + -7a = 47

Solving
-28 + -7a = 47

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 + -7a = 47 + 28

Combine like terms: -28 + 28 = 0
0 + -7a = 47 + 28
-7a = 47 + 28

Combine like terms: 47 + 28 = 75
-7a = 75

Divide each side by '-7'.
a = -10.71428571

Simplifying
a = -10.71428571

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