4a+(3a+5)=47

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


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

Reorder the terms:
4a + (5 + 3a) = 47

Remove parenthesis around (5 + 3a)
4a + 5 + 3a = 47

Reorder the terms:
5 + 4a + 3a = 47

Combine like terms: 4a + 3a = 7a
5 + 7a = 47

Solving
5 + 7a = 47

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 7a = 47 + -5

Combine like terms: 5 + -5 = 0
0 + 7a = 47 + -5
7a = 47 + -5

Combine like terms: 47 + -5 = 42
7a = 42

Divide each side by '7'.
a = 6

Simplifying
a = 6

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