3(4a+5)+5(1+3a)=47

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Solution for 3(4a+5)+5(1+3a)=47 equation: 


Simplifying
3(4a + 5) + 5(1 + 3a) = 47

Reorder the terms:
3(5 + 4a) + 5(1 + 3a) = 47
(5 * 3 + 4a * 3) + 5(1 + 3a) = 47
(15 + 12a) + 5(1 + 3a) = 47
15 + 12a + (1 * 5 + 3a * 5) = 47
15 + 12a + (5 + 15a) = 47

Reorder the terms:
15 + 5 + 12a + 15a = 47

Combine like terms: 15 + 5 = 20
20 + 12a + 15a = 47

Combine like terms: 12a + 15a = 27a
20 + 27a = 47

Solving
20 + 27a = 47

Solving for variable 'a'.

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

Add '-20' to each side of the equation.
20 + -20 + 27a = 47 + -20

Combine like terms: 20 + -20 = 0
0 + 27a = 47 + -20
27a = 47 + -20

Combine like terms: 47 + -20 = 27
27a = 27

Divide each side by '27'.
a = 1

Simplifying
a = 1

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