7a+15=4a+37

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Solution for 7a+15=4a+37 equation:


Simplifying
7a + 15 = 4a + 37

Reorder the terms:
15 + 7a = 4a + 37

Reorder the terms:
15 + 7a = 37 + 4a

Solving
15 + 7a = 37 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
15 + 7a + -4a = 37 + 4a + -4a

Combine like terms: 7a + -4a = 3a
15 + 3a = 37 + 4a + -4a

Combine like terms: 4a + -4a = 0
15 + 3a = 37 + 0
15 + 3a = 37

Add '-15' to each side of the equation.
15 + -15 + 3a = 37 + -15

Combine like terms: 15 + -15 = 0
0 + 3a = 37 + -15
3a = 37 + -15

Combine like terms: 37 + -15 = 22
3a = 22

Divide each side by '3'.
a = 7.333333333

Simplifying
a = 7.333333333

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